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Finding the Third Proportional to 98,387,683.88 and 215,309,449.13

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Solution

The third proportional to 98,387,683.88 and 215,309,449.13 is: 471,178,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387,683.88 : 215,309,449.13 = 215,309,449.13 : x
  2. Step 2: Convert to fraction form
    98,387,683.88/215,309,449.13 = 215,309,449.13/x
  3. Step 3: Cross multiply
    98,387,683.88x = 215,309,449.13 × 215,309,449.13
  4. Step 4: Simplify right side
    98,387,683.88x = 46,358,158,882,510,960
  5. Step 5: Solve for x
    x = 46,358,158,882,510,960/98,387,683.88
  6. Step 6: Final answer
    x = 471,178,475.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.