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Finding the Third Proportional to 214,938,009 and 466,368,295.50

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Solution

The third proportional to 214,938,009 and 466,368,295.50 is: 1,011,916,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938,009 : 466,368,295.50 = 466,368,295.50 : x
  2. Step 2: Convert to fraction form
    214,938,009/466,368,295.50 = 466,368,295.50/x
  3. Step 3: Cross multiply
    214,938,009x = 466,368,295.50 × 466,368,295.50
  4. Step 4: Simplify right side
    214,938,009x = 217,499,387,047,575,328
  5. Step 5: Solve for x
    x = 217,499,387,047,575,328/214,938,009
  6. Step 6: Final answer
    x = 1,011,916,822.25

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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.