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Finding the Third Proportional to 86,136,972.75 and 132,398,614.13

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Solution

The third proportional to 86,136,972.75 and 132,398,614.13 is: 203,506,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,972.75 : 132,398,614.13 = 132,398,614.13 : x
  2. Step 2: Convert to fraction form
    86,136,972.75/132,398,614.13 = 132,398,614.13/x
  3. Step 3: Cross multiply
    86,136,972.75x = 132,398,614.13 × 132,398,614.13
  4. Step 4: Simplify right side
    86,136,972.75x = 17,529,393,022,220,650
  5. Step 5: Solve for x
    x = 17,529,393,022,220,650/86,136,972.75
  6. Step 6: Final answer
    x = 203,506,026.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.