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Finding the Third Proportional to 70,805,310 and 106,859,313

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Solution

The third proportional to 70,805,310 and 106,859,313 is: 161,271,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805,310 : 106,859,313 = 106,859,313 : x
  2. Step 2: Convert to fraction form
    70,805,310/106,859,313 = 106,859,313/x
  3. Step 3: Cross multiply
    70,805,310x = 106,859,313 × 106,859,313
  4. Step 4: Simplify right side
    70,805,310x = 11,418,912,774,831,968
  5. Step 5: Solve for x
    x = 11,418,912,774,831,968/70,805,310
  6. Step 6: Final answer
    x = 161,271,983.34

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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.