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Finding the Third Proportional to 194,156,557 and 417,129,018

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Solution

The third proportional to 194,156,557 and 417,129,018 is: 896,166,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,557 : 417,129,018 = 417,129,018 : x
  2. Step 2: Convert to fraction form
    194,156,557/417,129,018 = 417,129,018/x
  3. Step 3: Cross multiply
    194,156,557x = 417,129,018 × 417,129,018
  4. Step 4: Simplify right side
    194,156,557x = 173,996,617,657,644,320
  5. Step 5: Solve for x
    x = 173,996,617,657,644,320/194,156,557
  6. Step 6: Final answer
    x = 896,166,579.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.