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Finding the Third Proportional to 140,187,996 and 306,803,484

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Solution

The third proportional to 140,187,996 and 306,803,484 is: 671,443,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187,996 : 306,803,484 = 306,803,484 : x
  2. Step 2: Convert to fraction form
    140,187,996/306,803,484 = 306,803,484/x
  3. Step 3: Cross multiply
    140,187,996x = 306,803,484 × 306,803,484
  4. Step 4: Simplify right side
    140,187,996x = 94,128,377,794,538,256
  5. Step 5: Solve for x
    x = 94,128,377,794,538,256/140,187,996
  6. Step 6: Final answer
    x = 671,443,921.59

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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.