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Finding the Third Proportional to 68,175,040 and 105,779,636

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Solution

The third proportional to 68,175,040 and 105,779,636 is: 164,126,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175,040 : 105,779,636 = 105,779,636 : x
  2. Step 2: Convert to fraction form
    68,175,040/105,779,636 = 105,779,636/x
  3. Step 3: Cross multiply
    68,175,040x = 105,779,636 × 105,779,636
  4. Step 4: Simplify right side
    68,175,040x = 11,189,331,392,292,496
  5. Step 5: Solve for x
    x = 11,189,331,392,292,496/68,175,040
  6. Step 6: Final answer
    x = 164,126,510.12

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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.