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Finding the Third Proportional to 143,292,023 and 310,912,234

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Solution

The third proportional to 143,292,023 and 310,912,234 is: 674,611,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,292,023 : 310,912,234 = 310,912,234 : x
  2. Step 2: Convert to fraction form
    143,292,023/310,912,234 = 310,912,234/x
  3. Step 3: Cross multiply
    143,292,023x = 310,912,234 × 310,912,234
  4. Step 4: Simplify right side
    143,292,023x = 96,666,417,250,870,752
  5. Step 5: Solve for x
    x = 96,666,417,250,870,752/143,292,023
  6. Step 6: Final answer
    x = 674,611,295.36

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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.