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Finding the Third Proportional to 142,754,662 and 312,711,230

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Solution

The third proportional to 142,754,662 and 312,711,230 is: 685,009,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,754,662 : 312,711,230 = 312,711,230 : x
  2. Step 2: Convert to fraction form
    142,754,662/312,711,230 = 312,711,230/x
  3. Step 3: Cross multiply
    142,754,662x = 312,711,230 × 312,711,230
  4. Step 4: Simplify right side
    142,754,662x = 97,788,313,368,112,896
  5. Step 5: Solve for x
    x = 97,788,313,368,112,896/142,754,662
  6. Step 6: Final answer
    x = 685,009,596.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.