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Finding the Third Proportional to 142,034,031 and 305,640,630

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Solution

The third proportional to 142,034,031 and 305,640,630 is: 657,702,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,031 : 305,640,630 = 305,640,630 : x
  2. Step 2: Convert to fraction form
    142,034,031/305,640,630 = 305,640,630/x
  3. Step 3: Cross multiply
    142,034,031x = 305,640,630 × 305,640,630
  4. Step 4: Simplify right side
    142,034,031x = 93,416,194,706,796,896
  5. Step 5: Solve for x
    x = 93,416,194,706,796,896/142,034,031
  6. Step 6: Final answer
    x = 657,702,904.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.