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Finding the Third Proportional to 91,637,173,786 and 197,279,360,294

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Solution

The third proportional to 91,637,173,786 and 197,279,360,294 is: 424,709,147,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,637,173,786 : 197,279,360,294 = 197,279,360,294 : x
  2. Step 2: Convert to fraction form
    91,637,173,786/197,279,360,294 = 197,279,360,294/x
  3. Step 3: Cross multiply
    91,637,173,786x = 197,279,360,294 × 197,279,360,294
  4. Step 4: Simplify right side
    91,637,173,786x = 38,919,145,998,009,862,455,296
  5. Step 5: Solve for x
    x = 38,919,145,998,009,862,455,296/91,637,173,786
  6. Step 6: Final answer
    x = 424,709,147,937.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.