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Finding the Third Proportional to 129,533,124.38 and 185,233,888.13

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Solution

The third proportional to 129,533,124.38 and 185,233,888.13 is: 264,886,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,533,124.38 : 185,233,888.13 = 185,233,888.13 : x
  2. Step 2: Convert to fraction form
    129,533,124.38/185,233,888.13 = 185,233,888.13/x
  3. Step 3: Cross multiply
    129,533,124.38x = 185,233,888.13 × 185,233,888.13
  4. Step 4: Simplify right side
    129,533,124.38x = 34,311,593,309,905,016
  5. Step 5: Solve for x
    x = 34,311,593,309,905,016/129,533,124.38
  6. Step 6: Final answer
    x = 264,886,634.02

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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.