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Finding the Third Proportional to 153,989,829 and 342,408,384

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Solution

The third proportional to 153,989,829 and 342,408,384 is: 761,371,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,989,829 : 342,408,384 = 342,408,384 : x
  2. Step 2: Convert to fraction form
    153,989,829/342,408,384 = 342,408,384/x
  3. Step 3: Cross multiply
    153,989,829x = 342,408,384 × 342,408,384
  4. Step 4: Simplify right side
    153,989,829x = 117,243,501,433,491,456
  5. Step 5: Solve for x
    x = 117,243,501,433,491,456/153,989,829
  6. Step 6: Final answer
    x = 761,371,723.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.