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Finding the Third Proportional to 125,320,605 and 191,582,887.50

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Solution

The third proportional to 125,320,605 and 191,582,887.50 is: 292,880,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,320,605 : 191,582,887.50 = 191,582,887.50 : x
  2. Step 2: Convert to fraction form
    125,320,605/191,582,887.50 = 191,582,887.50/x
  3. Step 3: Cross multiply
    125,320,605x = 191,582,887.50 × 191,582,887.50
  4. Step 4: Simplify right side
    125,320,605x = 36,704,002,782,837,656
  5. Step 5: Solve for x
    x = 36,704,002,782,837,656/125,320,605
  6. Step 6: Final answer
    x = 292,880,829.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.