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Finding the Third Proportional to 119,641,256 and 260,277,712

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Solution

The third proportional to 119,641,256 and 260,277,712 is: 566,230,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,641,256 : 260,277,712 = 260,277,712 : x
  2. Step 2: Convert to fraction form
    119,641,256/260,277,712 = 260,277,712/x
  3. Step 3: Cross multiply
    119,641,256x = 260,277,712 × 260,277,712
  4. Step 4: Simplify right side
    119,641,256x = 67,744,487,363,954,944
  5. Step 5: Solve for x
    x = 67,744,487,363,954,944/119,641,256
  6. Step 6: Final answer
    x = 566,230,158.63

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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.