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Finding the Third Proportional to 69,521,006 and 105,176,289

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Solution

The third proportional to 69,521,006 and 105,176,289 is: 159,118,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,521,006 : 105,176,289 = 105,176,289 : x
  2. Step 2: Convert to fraction form
    69,521,006/105,176,289 = 105,176,289/x
  3. Step 3: Cross multiply
    69,521,006x = 105,176,289 × 105,176,289
  4. Step 4: Simplify right side
    69,521,006x = 11,062,051,767,811,520
  5. Step 5: Solve for x
    x = 11,062,051,767,811,520/69,521,006
  6. Step 6: Final answer
    x = 159,118,119.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.