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Finding the Third Proportional to 308,938,970 and 466,281,413

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Solution

The third proportional to 308,938,970 and 466,281,413 is: 703,758,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,938,970 : 466,281,413 = 466,281,413 : x
  2. Step 2: Convert to fraction form
    308,938,970/466,281,413 = 466,281,413/x
  3. Step 3: Cross multiply
    308,938,970x = 466,281,413 × 466,281,413
  4. Step 4: Simplify right side
    308,938,970x = 217,418,356,109,276,576
  5. Step 5: Solve for x
    x = 217,418,356,109,276,576/308,938,970
  6. Step 6: Final answer
    x = 703,758,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.