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Finding the Third Proportional to 71,996,145 and 155,484,292.50

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Solution

The third proportional to 71,996,145 and 155,484,292.50 is: 335,786,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996,145 : 155,484,292.50 = 155,484,292.50 : x
  2. Step 2: Convert to fraction form
    71,996,145/155,484,292.50 = 155,484,292.50/x
  3. Step 3: Cross multiply
    71,996,145x = 155,484,292.50 × 155,484,292.50
  4. Step 4: Simplify right side
    71,996,145x = 24,175,365,214,225,556
  5. Step 5: Solve for x
    x = 24,175,365,214,225,556/71,996,145
  6. Step 6: Final answer
    x = 335,786,939.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.