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Finding the Third Proportional to 77,345,253 and 111,854,722.50

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Solution

The third proportional to 77,345,253 and 111,854,722.50 is: 161,761,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345,253 : 111,854,722.50 = 111,854,722.50 : x
  2. Step 2: Convert to fraction form
    77,345,253/111,854,722.50 = 111,854,722.50/x
  3. Step 3: Cross multiply
    77,345,253x = 111,854,722.50 × 111,854,722.50
  4. Step 4: Simplify right side
    77,345,253x = 12,511,478,945,552,006
  5. Step 5: Solve for x
    x = 12,511,478,945,552,006/77,345,253
  6. Step 6: Final answer
    x = 161,761,432.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.