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Finding the Third Proportional to 125,799,848 and 269,088,056

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Solution

The third proportional to 125,799,848 and 269,088,056 is: 575,584,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,799,848 : 269,088,056 = 269,088,056 : x
  2. Step 2: Convert to fraction form
    125,799,848/269,088,056 = 269,088,056/x
  3. Step 3: Cross multiply
    125,799,848x = 269,088,056 × 269,088,056
  4. Step 4: Simplify right side
    125,799,848x = 72,408,381,881,859,136
  5. Step 5: Solve for x
    x = 72,408,381,881,859,136/125,799,848
  6. Step 6: Final answer
    x = 575,584,017.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.