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Finding the Third Proportional to 96,848,140,531 and 209,811,778,681

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Solution

The third proportional to 96,848,140,531 and 209,811,778,681 is: 454,536,165,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848,140,531 : 209,811,778,681 = 209,811,778,681 : x
  2. Step 2: Convert to fraction form
    96,848,140,531/209,811,778,681 = 209,811,778,681/x
  3. Step 3: Cross multiply
    96,848,140,531x = 209,811,778,681 × 209,811,778,681
  4. Step 4: Simplify right side
    96,848,140,531x = 44,020,982,473,284,923,686,912
  5. Step 5: Solve for x
    x = 44,020,982,473,284,923,686,912/96,848,140,531
  6. Step 6: Final answer
    x = 454,536,165,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.