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Finding the Third Proportional to 115,115,565,703.50 and 256,699,930,545

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Solution

The third proportional to 115,115,565,703.50 and 256,699,930,545 is: 572,423,494,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,115,565,703.50 : 256,699,930,545 = 256,699,930,545 : x
  2. Step 2: Convert to fraction form
    115,115,565,703.50/256,699,930,545 = 256,699,930,545/x
  3. Step 3: Cross multiply
    115,115,565,703.50x = 256,699,930,545 × 256,699,930,545
  4. Step 4: Simplify right side
    115,115,565,703.50x = 65,894,854,341,807,824,699,392
  5. Step 5: Solve for x
    x = 65,894,854,341,807,824,699,392/115,115,565,703.50
  6. Step 6: Final answer
    x = 572,423,494,069.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.