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Finding the Third Proportional to 119,915,819,703 and 266,643,104,562

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Solution

The third proportional to 119,915,819,703 and 266,643,104,562 is: 592,903,800,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,915,819,703 : 266,643,104,562 = 266,643,104,562 : x
  2. Step 2: Convert to fraction form
    119,915,819,703/266,643,104,562 = 266,643,104,562/x
  3. Step 3: Cross multiply
    119,915,819,703x = 266,643,104,562 × 266,643,104,562
  4. Step 4: Simplify right side
    119,915,819,703x = 71,098,545,210,461,664,575,488
  5. Step 5: Solve for x
    x = 71,098,545,210,461,664,575,488/119,915,819,703
  6. Step 6: Final answer
    x = 592,903,800,237.15

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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.