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Finding the Third Proportional to 123,166,870 and 172,194,532

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Solution

The third proportional to 123,166,870 and 172,194,532 is: 240,738,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,870 : 172,194,532 = 172,194,532 : x
  2. Step 2: Convert to fraction form
    123,166,870/172,194,532 = 172,194,532/x
  3. Step 3: Cross multiply
    123,166,870x = 172,194,532 × 172,194,532
  4. Step 4: Simplify right side
    123,166,870x = 29,650,956,850,699,024
  5. Step 5: Solve for x
    x = 29,650,956,850,699,024/123,166,870
  6. Step 6: Final answer
    x = 240,738,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.