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Finding the Third Proportional to 189,013,566 and 291,584,550

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Solution

The third proportional to 189,013,566 and 291,584,550 is: 449,817,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,013,566 : 291,584,550 = 291,584,550 : x
  2. Step 2: Convert to fraction form
    189,013,566/291,584,550 = 291,584,550/x
  3. Step 3: Cross multiply
    189,013,566x = 291,584,550 × 291,584,550
  4. Step 4: Simplify right side
    189,013,566x = 85,021,549,798,702,496
  5. Step 5: Solve for x
    x = 85,021,549,798,702,496/189,013,566
  6. Step 6: Final answer
    x = 449,817,182.96

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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.