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Finding the Third Proportional to 115,495,596 and 256,814,187.50

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Solution

The third proportional to 115,495,596 and 256,814,187.50 is: 571,047,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,495,596 : 256,814,187.50 = 256,814,187.50 : x
  2. Step 2: Convert to fraction form
    115,495,596/256,814,187.50 = 256,814,187.50/x
  3. Step 3: Cross multiply
    115,495,596x = 256,814,187.50 × 256,814,187.50
  4. Step 4: Simplify right side
    115,495,596x = 65,953,526,901,285,160
  5. Step 5: Solve for x
    x = 65,953,526,901,285,160/115,495,596
  6. Step 6: Final answer
    x = 571,047,980.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.