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Finding the Third Proportional to 99,433,752.19 and 216,080,287.88

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Solution

The third proportional to 99,433,752.19 and 216,080,287.88 is: 469,565,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,433,752.19 : 216,080,287.88 = 216,080,287.88 : x
  2. Step 2: Convert to fraction form
    99,433,752.19/216,080,287.88 = 216,080,287.88/x
  3. Step 3: Cross multiply
    99,433,752.19x = 216,080,287.88 × 216,080,287.88
  4. Step 4: Simplify right side
    99,433,752.19x = 46,690,690,808,142,872
  5. Step 5: Solve for x
    x = 46,690,690,808,142,872/99,433,752.19
  6. Step 6: Final answer
    x = 469,565,814.23

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Why These Related Problems?

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