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Finding the Third Proportional to 78,217,560 and 114,929,052

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Solution

The third proportional to 78,217,560 and 114,929,052 is: 168,871,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,217,560 : 114,929,052 = 114,929,052 : x
  2. Step 2: Convert to fraction form
    78,217,560/114,929,052 = 114,929,052/x
  3. Step 3: Cross multiply
    78,217,560x = 114,929,052 × 114,929,052
  4. Step 4: Simplify right side
    78,217,560x = 13,208,686,993,618,704
  5. Step 5: Solve for x
    x = 13,208,686,993,618,704/78,217,560
  6. Step 6: Final answer
    x = 168,871,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.