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Finding the Third Proportional to 109,666,738 and 170,357,030

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Solution

The third proportional to 109,666,738 and 170,357,030 is: 264,633,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666,738 : 170,357,030 = 170,357,030 : x
  2. Step 2: Convert to fraction form
    109,666,738/170,357,030 = 170,357,030/x
  3. Step 3: Cross multiply
    109,666,738x = 170,357,030 × 170,357,030
  4. Step 4: Simplify right side
    109,666,738x = 29,021,517,670,420,900
  5. Step 5: Solve for x
    x = 29,021,517,670,420,900/109,666,738
  6. Step 6: Final answer
    x = 264,633,727.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.