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Finding the Third Proportional to 65,281,772 and 98,762,262

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Solution

The third proportional to 65,281,772 and 98,762,262 is: 149,413,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281,772 : 98,762,262 = 98,762,262 : x
  2. Step 2: Convert to fraction form
    65,281,772/98,762,262 = 98,762,262/x
  3. Step 3: Cross multiply
    65,281,772x = 98,762,262 × 98,762,262
  4. Step 4: Simplify right side
    65,281,772x = 9,753,984,395,356,644
  5. Step 5: Solve for x
    x = 9,753,984,395,356,644/65,281,772
  6. Step 6: Final answer
    x = 149,413,597.34

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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.