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Finding the Third Proportional to 70,414,617 and 107,713,085

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Solution

The third proportional to 70,414,617 and 107,713,085 is: 164,768,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414,617 : 107,713,085 = 107,713,085 : x
  2. Step 2: Convert to fraction form
    70,414,617/107,713,085 = 107,713,085/x
  3. Step 3: Cross multiply
    70,414,617x = 107,713,085 × 107,713,085
  4. Step 4: Simplify right side
    70,414,617x = 11,602,108,680,217,224
  5. Step 5: Solve for x
    x = 11,602,108,680,217,224/70,414,617
  6. Step 6: Final answer
    x = 164,768,469.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.