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Finding the Third Proportional to 143,553,424 and 314,896,814

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Solution

The third proportional to 143,553,424 and 314,896,814 is: 690,753,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553,424 : 314,896,814 = 314,896,814 : x
  2. Step 2: Convert to fraction form
    143,553,424/314,896,814 = 314,896,814/x
  3. Step 3: Cross multiply
    143,553,424x = 314,896,814 × 314,896,814
  4. Step 4: Simplify right side
    143,553,424x = 99,160,003,467,350,592
  5. Step 5: Solve for x
    x = 99,160,003,467,350,592/143,553,424
  6. Step 6: Final answer
    x = 690,753,314.72

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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.