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Finding the Third Proportional to 340,442,149.50 and 539,164,208.25

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Solution

The third proportional to 340,442,149.50 and 539,164,208.25 is: 853,883,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442,149.50 : 539,164,208.25 = 539,164,208.25 : x
  2. Step 2: Convert to fraction form
    340,442,149.50/539,164,208.25 = 539,164,208.25/x
  3. Step 3: Cross multiply
    340,442,149.50x = 539,164,208.25 × 539,164,208.25
  4. Step 4: Simplify right side
    340,442,149.50x = 290,698,043,457,849,344
  5. Step 5: Solve for x
    x = 290,698,043,457,849,344/340,442,149.50
  6. Step 6: Final answer
    x = 853,883,821.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.