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Finding the Third Proportional to 122,221,594 and 285,241,129

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Solution

The third proportional to 122,221,594 and 285,241,129 is: 665,696,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,221,594 : 285,241,129 = 285,241,129 : x
  2. Step 2: Convert to fraction form
    122,221,594/285,241,129 = 285,241,129/x
  3. Step 3: Cross multiply
    122,221,594x = 285,241,129 × 285,241,129
  4. Step 4: Simplify right side
    122,221,594x = 81,362,501,673,194,640
  5. Step 5: Solve for x
    x = 81,362,501,673,194,640/122,221,594
  6. Step 6: Final answer
    x = 665,696,617.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.