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Finding the Third Proportional to 71,360,645 and 113,421,176

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Solution

The third proportional to 71,360,645 and 113,421,176 is: 180,272,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,360,645 : 113,421,176 = 113,421,176 : x
  2. Step 2: Convert to fraction form
    71,360,645/113,421,176 = 113,421,176/x
  3. Step 3: Cross multiply
    71,360,645x = 113,421,176 × 113,421,176
  4. Step 4: Simplify right side
    71,360,645x = 12,864,363,165,222,976
  5. Step 5: Solve for x
    x = 12,864,363,165,222,976/71,360,645
  6. Step 6: Final answer
    x = 180,272,518.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.