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Finding the Third Proportional to 161,367,583 and 242,216,617.50

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Solution

The third proportional to 161,367,583 and 242,216,617.50 is: 363,572,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,367,583 : 242,216,617.50 = 242,216,617.50 : x
  2. Step 2: Convert to fraction form
    161,367,583/242,216,617.50 = 242,216,617.50/x
  3. Step 3: Cross multiply
    161,367,583x = 242,216,617.50 × 242,216,617.50
  4. Step 4: Simplify right side
    161,367,583x = 58,668,889,793,141,304
  5. Step 5: Solve for x
    x = 58,668,889,793,141,304/161,367,583
  6. Step 6: Final answer
    x = 363,572,959.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.