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Finding the Third Proportional to 98,387,688.75 and 215,309,460

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Solution

The third proportional to 98,387,688.75 and 215,309,460 is: 471,178,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387,688.75 : 215,309,460 = 215,309,460 : x
  2. Step 2: Convert to fraction form
    98,387,688.75/215,309,460 = 215,309,460/x
  3. Step 3: Cross multiply
    98,387,688.75x = 215,309,460 × 215,309,460
  4. Step 4: Simplify right side
    98,387,688.75x = 46,358,163,565,491,600
  5. Step 5: Solve for x
    x = 46,358,163,565,491,600/98,387,688.75
  6. Step 6: Final answer
    x = 471,178,499.61

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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.