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Finding the Third Proportional to 124,623,104 and 272,699,596

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Solution

The third proportional to 124,623,104 and 272,699,596 is: 596,719,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,623,104 : 272,699,596 = 272,699,596 : x
  2. Step 2: Convert to fraction form
    124,623,104/272,699,596 = 272,699,596/x
  3. Step 3: Cross multiply
    124,623,104x = 272,699,596 × 272,699,596
  4. Step 4: Simplify right side
    124,623,104x = 74,365,069,658,563,216
  5. Step 5: Solve for x
    x = 74,365,069,658,563,216/124,623,104
  6. Step 6: Final answer
    x = 596,719,767.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.