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Finding the Third Proportional to 100,812,807.56 and 155,696,325.19

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Solution

The third proportional to 100,812,807.56 and 155,696,325.19 is: 240,458,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,807.56 : 155,696,325.19 = 155,696,325.19 : x
  2. Step 2: Convert to fraction form
    100,812,807.56/155,696,325.19 = 155,696,325.19/x
  3. Step 3: Cross multiply
    100,812,807.56x = 155,696,325.19 × 155,696,325.19
  4. Step 4: Simplify right side
    100,812,807.56x = 24,241,345,676,891,748
  5. Step 5: Solve for x
    x = 24,241,345,676,891,748/100,812,807.56
  6. Step 6: Final answer
    x = 240,458,987.93

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Why These Related Problems?

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