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Finding the Third Proportional to 85,290,381 and 124,736,835

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Solution

The third proportional to 85,290,381 and 124,736,835 is: 182,427,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,290,381 : 124,736,835 = 124,736,835 : x
  2. Step 2: Convert to fraction form
    85,290,381/124,736,835 = 124,736,835/x
  3. Step 3: Cross multiply
    85,290,381x = 124,736,835 × 124,736,835
  4. Step 4: Simplify right side
    85,290,381x = 15,559,278,005,817,224
  5. Step 5: Solve for x
    x = 15,559,278,005,817,224/85,290,381
  6. Step 6: Final answer
    x = 182,427,113.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.