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Finding the Third Proportional to 85,290,698 and 124,737,271

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Solution

The third proportional to 85,290,698 and 124,737,271 is: 182,427,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,290,698 : 124,737,271 = 124,737,271 : x
  2. Step 2: Convert to fraction form
    85,290,698/124,737,271 = 124,737,271/x
  3. Step 3: Cross multiply
    85,290,698x = 124,737,271 × 124,737,271
  4. Step 4: Simplify right side
    85,290,698x = 15,559,386,776,527,440
  5. Step 5: Solve for x
    x = 15,559,386,776,527,440/85,290,698
  6. Step 6: Final answer
    x = 182,427,710.66

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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.