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Finding the Third Proportional to 251,948,658.50 and 360,287,011.50

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Solution

The third proportional to 251,948,658.50 and 360,287,011.50 is: 515,211,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948,658.50 : 360,287,011.50 = 360,287,011.50 : x
  2. Step 2: Convert to fraction form
    251,948,658.50/360,287,011.50 = 360,287,011.50/x
  3. Step 3: Cross multiply
    251,948,658.50x = 360,287,011.50 × 360,287,011.50
  4. Step 4: Simplify right side
    251,948,658.50x = 129,806,730,655,601,136
  5. Step 5: Solve for x
    x = 129,806,730,655,601,136/251,948,658.50
  6. Step 6: Final answer
    x = 515,211,041.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.