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Finding the Third Proportional to 70,805,316 and 106,859,322

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Solution

The third proportional to 70,805,316 and 106,859,322 is: 161,271,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805,316 : 106,859,322 = 106,859,322 : x
  2. Step 2: Convert to fraction form
    70,805,316/106,859,322 = 106,859,322/x
  3. Step 3: Cross multiply
    70,805,316x = 106,859,322 × 106,859,322
  4. Step 4: Simplify right side
    70,805,316x = 11,418,914,698,299,684
  5. Step 5: Solve for x
    x = 11,418,914,698,299,684/70,805,316
  6. Step 6: Final answer
    x = 161,271,996.84

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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.