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Finding the Third Proportional to 143,998,306.50 and 316,024,759.50

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Solution

The third proportional to 143,998,306.50 and 316,024,759.50 is: 693,561,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,998,306.50 : 316,024,759.50 = 316,024,759.50 : x
  2. Step 2: Convert to fraction form
    143,998,306.50/316,024,759.50 = 316,024,759.50/x
  3. Step 3: Cross multiply
    143,998,306.50x = 316,024,759.50 × 316,024,759.50
  4. Step 4: Simplify right side
    143,998,306.50x = 99,871,648,617,032,848
  5. Step 5: Solve for x
    x = 99,871,648,617,032,848/143,998,306.50
  6. Step 6: Final answer
    x = 693,561,271.97

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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.