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Finding the Third Proportional to 161,367,592.50 and 242,216,628.75

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Solution

The third proportional to 161,367,592.50 and 242,216,628.75 is: 363,572,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,367,592.50 : 242,216,628.75 = 242,216,628.75 : x
  2. Step 2: Convert to fraction form
    161,367,592.50/242,216,628.75 = 242,216,628.75/x
  3. Step 3: Cross multiply
    161,367,592.50x = 242,216,628.75 × 242,216,628.75
  4. Step 4: Simplify right side
    161,367,592.50x = 58,668,895,243,015,328
  5. Step 5: Solve for x
    x = 58,668,895,243,015,328/161,367,592.50
  6. Step 6: Final answer
    x = 363,572,972.33

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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.