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Finding the Third Proportional to 119,343,140 and 257,049,789

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Solution

The third proportional to 119,343,140 and 257,049,789 is: 553,652,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343,140 : 257,049,789 = 257,049,789 : x
  2. Step 2: Convert to fraction form
    119,343,140/257,049,789 = 257,049,789/x
  3. Step 3: Cross multiply
    119,343,140x = 257,049,789 × 257,049,789
  4. Step 4: Simplify right side
    119,343,140x = 66,074,594,024,944,520
  5. Step 5: Solve for x
    x = 66,074,594,024,944,520/119,343,140
  6. Step 6: Final answer
    x = 553,652,216.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.