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Finding the Third Proportional to 91,848,547,390 and 127,708,063,513

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Solution

The third proportional to 91,848,547,390 and 127,708,063,513 is: 177,567,854,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,848,547,390 : 127,708,063,513 = 127,708,063,513 : x
  2. Step 2: Convert to fraction form
    91,848,547,390/127,708,063,513 = 127,708,063,513/x
  3. Step 3: Cross multiply
    91,848,547,390x = 127,708,063,513 × 127,708,063,513
  4. Step 4: Simplify right side
    91,848,547,390x = 16,309,349,486,240,441,827,328
  5. Step 5: Solve for x
    x = 16,309,349,486,240,441,827,328/91,848,547,390
  6. Step 6: Final answer
    x = 177,567,854,361.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.