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Finding the Third Proportional to 122,726,299.50 and 264,920,726.25

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Solution

The third proportional to 122,726,299.50 and 264,920,726.25 is: 571,865,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726,299.50 : 264,920,726.25 = 264,920,726.25 : x
  2. Step 2: Convert to fraction form
    122,726,299.50/264,920,726.25 = 264,920,726.25/x
  3. Step 3: Cross multiply
    122,726,299.50x = 264,920,726.25 × 264,920,726.25
  4. Step 4: Simplify right side
    122,726,299.50x = 70,182,991,196,827,440
  5. Step 5: Solve for x
    x = 70,182,991,196,827,440/122,726,299.50
  6. Step 6: Final answer
    x = 571,865,944.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.