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Finding the Third Proportional to 71,169,904.50 and 155,391,823.50

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Solution

The third proportional to 71,169,904.50 and 155,391,823.50 is: 339,281,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169,904.50 : 155,391,823.50 = 155,391,823.50 : x
  2. Step 2: Convert to fraction form
    71,169,904.50/155,391,823.50 = 155,391,823.50/x
  3. Step 3: Cross multiply
    71,169,904.50x = 155,391,823.50 × 155,391,823.50
  4. Step 4: Simplify right side
    71,169,904.50x = 24,146,618,810,655,152
  5. Step 5: Solve for x
    x = 24,146,618,810,655,152/71,169,904.50
  6. Step 6: Final answer
    x = 339,281,315.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.