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Finding the Third Proportional to 129,532,962.38 and 185,233,559.06

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Solution

The third proportional to 129,532,962.38 and 185,233,559.06 is: 264,886,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,532,962.38 : 185,233,559.06 = 185,233,559.06 : x
  2. Step 2: Convert to fraction form
    129,532,962.38/185,233,559.06 = 185,233,559.06/x
  3. Step 3: Cross multiply
    129,532,962.38x = 185,233,559.06 × 185,233,559.06
  4. Step 4: Simplify right side
    129,532,962.38x = 34,311,471,402,960,676
  5. Step 5: Solve for x
    x = 34,311,471,402,960,676/129,532,962.38
  6. Step 6: Final answer
    x = 264,886,024.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.