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Finding the Third Proportional to 266,819,188.50 and 398,657,706

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Solution

The third proportional to 266,819,188.50 and 398,657,706 is: 595,639,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,819,188.50 : 398,657,706 = 398,657,706 : x
  2. Step 2: Convert to fraction form
    266,819,188.50/398,657,706 = 398,657,706/x
  3. Step 3: Cross multiply
    266,819,188.50x = 398,657,706 × 398,657,706
  4. Step 4: Simplify right side
    266,819,188.50x = 158,927,966,553,182,432
  5. Step 5: Solve for x
    x = 158,927,966,553,182,432/266,819,188.50
  6. Step 6: Final answer
    x = 595,639,194.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.