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Finding the Third Proportional to 66,186,996.75 and 102,071,835

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Solution

The third proportional to 66,186,996.75 and 102,071,835 is: 157,412,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186,996.75 : 102,071,835 = 102,071,835 : x
  2. Step 2: Convert to fraction form
    66,186,996.75/102,071,835 = 102,071,835/x
  3. Step 3: Cross multiply
    66,186,996.75x = 102,071,835 × 102,071,835
  4. Step 4: Simplify right side
    66,186,996.75x = 10,418,659,500,267,224
  5. Step 5: Solve for x
    x = 10,418,659,500,267,224/66,186,996.75
  6. Step 6: Final answer
    x = 157,412,482.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.