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Finding the Third Proportional to 119,915,817,111 and 266,643,099,438

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Solution

The third proportional to 119,915,817,111 and 266,643,099,438 is: 592,903,790,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,915,817,111 : 266,643,099,438 = 266,643,099,438 : x
  2. Step 2: Convert to fraction form
    119,915,817,111/266,643,099,438 = 266,643,099,438/x
  3. Step 3: Cross multiply
    119,915,817,111x = 266,643,099,438 × 266,643,099,438
  4. Step 4: Simplify right side
    119,915,817,111x = 71,098,542,477,903,159,885,824
  5. Step 5: Solve for x
    x = 71,098,542,477,903,159,885,824/119,915,817,111
  6. Step 6: Final answer
    x = 592,903,790,265.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.