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Finding the Third Proportional to 119,343,142.50 and 257,049,793.50

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Solution

The third proportional to 119,343,142.50 and 257,049,793.50 is: 553,652,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343,142.50 : 257,049,793.50 = 257,049,793.50 : x
  2. Step 2: Convert to fraction form
    119,343,142.50/257,049,793.50 = 257,049,793.50/x
  3. Step 3: Cross multiply
    119,343,142.50x = 257,049,793.50 × 257,049,793.50
  4. Step 4: Simplify right side
    119,343,142.50x = 66,074,596,338,392,640
  5. Step 5: Solve for x
    x = 66,074,596,338,392,640/119,343,142.50
  6. Step 6: Final answer
    x = 553,652,224.62

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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.