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Finding the Third Proportional to 83,645,346.09 and 181,186,890.19

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Solution

The third proportional to 83,645,346.09 and 181,186,890.19 is: 392,474,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,645,346.09 : 181,186,890.19 = 181,186,890.19 : x
  2. Step 2: Convert to fraction form
    83,645,346.09/181,186,890.19 = 181,186,890.19/x
  3. Step 3: Cross multiply
    83,645,346.09x = 181,186,890.19 × 181,186,890.19
  4. Step 4: Simplify right side
    83,645,346.09x = 32,828,689,175,817,184
  5. Step 5: Solve for x
    x = 32,828,689,175,817,184/83,645,346.09
  6. Step 6: Final answer
    x = 392,474,784.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.