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Finding the Third Proportional to 243,620,234 and 526,071,940

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Solution

The third proportional to 243,620,234 and 526,071,940 is: 1,135,996,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,620,234 : 526,071,940 = 526,071,940 : x
  2. Step 2: Convert to fraction form
    243,620,234/526,071,940 = 526,071,940/x
  3. Step 3: Cross multiply
    243,620,234x = 526,071,940 × 526,071,940
  4. Step 4: Simplify right side
    243,620,234x = 276,751,686,055,363,584
  5. Step 5: Solve for x
    x = 276,751,686,055,363,584/243,620,234
  6. Step 6: Final answer
    x = 1,135,996,306.68

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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.