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Finding the Third Proportional to 71,109,637,561 and 102,741,146,487.50

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Solution

The third proportional to 71,109,637,561 and 102,741,146,487.50 is: 148,443,214,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,109,637,561 : 102,741,146,487.50 = 102,741,146,487.50 : x
  2. Step 2: Convert to fraction form
    71,109,637,561/102,741,146,487.50 = 102,741,146,487.50/x
  3. Step 3: Cross multiply
    71,109,637,561x = 102,741,146,487.50 × 102,741,146,487.50
  4. Step 4: Simplify right side
    71,109,637,561x = 10,555,743,181,565,933,387,776
  5. Step 5: Solve for x
    x = 10,555,743,181,565,933,387,776/71,109,637,561
  6. Step 6: Final answer
    x = 148,443,214,501.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.