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Finding the Third Proportional to 78,686,441,904 and 120,871,999,476

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Solution

The third proportional to 78,686,441,904 and 120,871,999,476 is: 185,674,175,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,686,441,904 : 120,871,999,476 = 120,871,999,476 : x
  2. Step 2: Convert to fraction form
    78,686,441,904/120,871,999,476 = 120,871,999,476/x
  3. Step 3: Cross multiply
    78,686,441,904x = 120,871,999,476 × 120,871,999,476
  4. Step 4: Simplify right side
    78,686,441,904x = 14,610,040,257,326,144,815,104
  5. Step 5: Solve for x
    x = 14,610,040,257,326,144,815,104/78,686,441,904
  6. Step 6: Final answer
    x = 185,674,175,929.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.