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Finding the Third Proportional to 121,139,025 and 266,501,262

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Solution

The third proportional to 121,139,025 and 266,501,262 is: 586,292,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139,025 : 266,501,262 = 266,501,262 : x
  2. Step 2: Convert to fraction form
    121,139,025/266,501,262 = 266,501,262/x
  3. Step 3: Cross multiply
    121,139,025x = 266,501,262 × 266,501,262
  4. Step 4: Simplify right side
    121,139,025x = 71,022,922,647,592,640
  5. Step 5: Solve for x
    x = 71,022,922,647,592,640/121,139,025
  6. Step 6: Final answer
    x = 586,292,671.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.