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Finding the Third Proportional to 148,033,416 and 320,778,900

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Solution

The third proportional to 148,033,416 and 320,778,900 is: 695,107,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,033,416 : 320,778,900 = 320,778,900 : x
  2. Step 2: Convert to fraction form
    148,033,416/320,778,900 = 320,778,900/x
  3. Step 3: Cross multiply
    148,033,416x = 320,778,900 × 320,778,900
  4. Step 4: Simplify right side
    148,033,416x = 102,899,102,685,210,000
  5. Step 5: Solve for x
    x = 102,899,102,685,210,000/148,033,416
  6. Step 6: Final answer
    x = 695,107,263.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.