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Finding the Third Proportional to 179,903,278.13 and 272,069,254.69

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Solution

The third proportional to 179,903,278.13 and 272,069,254.69 is: 411,452,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,903,278.13 : 272,069,254.69 = 272,069,254.69 : x
  2. Step 2: Convert to fraction form
    179,903,278.13/272,069,254.69 = 272,069,254.69/x
  3. Step 3: Cross multiply
    179,903,278.13x = 272,069,254.69 × 272,069,254.69
  4. Step 4: Simplify right side
    179,903,278.13x = 74,021,679,346,211,744
  5. Step 5: Solve for x
    x = 74,021,679,346,211,744/179,903,278.13
  6. Step 6: Final answer
    x = 411,452,643.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.