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Finding the Third Proportional to 119,031,099.75 and 183,854,031.75

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Solution

The third proportional to 119,031,099.75 and 183,854,031.75 is: 283,978,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,031,099.75 : 183,854,031.75 = 183,854,031.75 : x
  2. Step 2: Convert to fraction form
    119,031,099.75/183,854,031.75 = 183,854,031.75/x
  3. Step 3: Cross multiply
    119,031,099.75x = 183,854,031.75 × 183,854,031.75
  4. Step 4: Simplify right side
    119,031,099.75x = 33,802,304,990,730,008
  5. Step 5: Solve for x
    x = 33,802,304,990,730,008/119,031,099.75
  6. Step 6: Final answer
    x = 283,978,767.41

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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.