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Finding the Third Proportional to 119,653,074 and 260,270,262

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Solution

The third proportional to 119,653,074 and 260,270,262 is: 566,141,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,653,074 : 260,270,262 = 260,270,262 : x
  2. Step 2: Convert to fraction form
    119,653,074/260,270,262 = 260,270,262/x
  3. Step 3: Cross multiply
    119,653,074x = 260,270,262 × 260,270,262
  4. Step 4: Simplify right side
    119,653,074x = 67,740,609,281,548,640
  5. Step 5: Solve for x
    x = 67,740,609,281,548,640/119,653,074
  6. Step 6: Final answer
    x = 566,141,821.66

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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.