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Finding the Third Proportional to 388,530,201.66 and 597,801,748.50

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Solution

The third proportional to 388,530,201.66 and 597,801,748.50 is: 919,791,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,530,201.66 : 597,801,748.50 = 597,801,748.50 : x
  2. Step 2: Convert to fraction form
    388,530,201.66/597,801,748.50 = 597,801,748.50/x
  3. Step 3: Cross multiply
    388,530,201.66x = 597,801,748.50 × 597,801,748.50
  4. Step 4: Simplify right side
    388,530,201.66x = 357,366,930,509,657,280
  5. Step 5: Solve for x
    x = 357,366,930,509,657,280/388,530,201.66
  6. Step 6: Final answer
    x = 919,791,895.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.