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Finding the Third Proportional to 239,924,854,124 and 499,708,147,312

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Solution

The third proportional to 239,924,854,124 and 499,708,147,312 is: 1,040,776,844,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,124 : 499,708,147,312 = 499,708,147,312 : x
  2. Step 2: Convert to fraction form
    239,924,854,124/499,708,147,312 = 499,708,147,312/x
  3. Step 3: Cross multiply
    239,924,854,124x = 499,708,147,312 × 499,708,147,312
  4. Step 4: Simplify right side
    239,924,854,124x = 249,708,232,489,991,476,871,168
  5. Step 5: Solve for x
    x = 249,708,232,489,991,476,871,168/239,924,854,124
  6. Step 6: Final answer
    x = 1,040,776,844,073.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.