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Finding the Third Proportional to 219,826,650,399 and 476,155,774,270.50

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Solution

The third proportional to 219,826,650,399 and 476,155,774,270.50 is: 1,031,377,774,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,826,650,399 : 476,155,774,270.50 = 476,155,774,270.50 : x
  2. Step 2: Convert to fraction form
    219,826,650,399/476,155,774,270.50 = 476,155,774,270.50/x
  3. Step 3: Cross multiply
    219,826,650,399x = 476,155,774,270.50 × 476,155,774,270.50
  4. Step 4: Simplify right side
    219,826,650,399x = 226,724,321,371,139,348,627,456
  5. Step 5: Solve for x
    x = 226,724,321,371,139,348,627,456/219,826,650,399
  6. Step 6: Final answer
    x = 1,031,377,774,076.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.