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Finding the Third Proportional to 78,551,384.06 and 169,598,593.31

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Solution

The third proportional to 78,551,384.06 and 169,598,593.31 is: 366,176,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,551,384.06 : 169,598,593.31 = 169,598,593.31 : x
  2. Step 2: Convert to fraction form
    78,551,384.06/169,598,593.31 = 169,598,593.31/x
  3. Step 3: Cross multiply
    78,551,384.06x = 169,598,593.31 × 169,598,593.31
  4. Step 4: Simplify right side
    78,551,384.06x = 28,763,682,853,578,768
  5. Step 5: Solve for x
    x = 28,763,682,853,578,768/78,551,384.06
  6. Step 6: Final answer
    x = 366,176,652.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.