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Finding the Third Proportional to 70,805,309 and 106,859,312

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Solution

The third proportional to 70,805,309 and 106,859,312 is: 161,271,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805,309 : 106,859,312 = 106,859,312 : x
  2. Step 2: Convert to fraction form
    70,805,309/106,859,312 = 106,859,312/x
  3. Step 3: Cross multiply
    70,805,309x = 106,859,312 × 106,859,312
  4. Step 4: Simplify right side
    70,805,309x = 11,418,912,561,113,344
  5. Step 5: Solve for x
    x = 11,418,912,561,113,344/70,805,309
  6. Step 6: Final answer
    x = 161,271,982.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.