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Finding the Third Proportional to 69,999,984 and 109,559,304

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Solution

The third proportional to 69,999,984 and 109,559,304 is: 171,474,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,999,984 : 109,559,304 = 109,559,304 : x
  2. Step 2: Convert to fraction form
    69,999,984/109,559,304 = 109,559,304/x
  3. Step 3: Cross multiply
    69,999,984x = 109,559,304 × 109,559,304
  4. Step 4: Simplify right side
    69,999,984x = 12,003,241,092,964,416
  5. Step 5: Solve for x
    x = 12,003,241,092,964,416/69,999,984
  6. Step 6: Final answer
    x = 171,474,911.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.