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Finding the Third Proportional to 67,204,345 and 105,598,417

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Solution

The third proportional to 67,204,345 and 105,598,417 is: 165,927,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,204,345 : 105,598,417 = 105,598,417 : x
  2. Step 2: Convert to fraction form
    67,204,345/105,598,417 = 105,598,417/x
  3. Step 3: Cross multiply
    67,204,345x = 105,598,417 × 105,598,417
  4. Step 4: Simplify right side
    67,204,345x = 11,151,025,672,905,888
  5. Step 5: Solve for x
    x = 11,151,025,672,905,888/67,204,345
  6. Step 6: Final answer
    x = 165,927,153.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.