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Finding the Third Proportional to 71,931,668 and 105,166,614

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Solution

The third proportional to 71,931,668 and 105,166,614 is: 153,757,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931,668 : 105,166,614 = 105,166,614 : x
  2. Step 2: Convert to fraction form
    71,931,668/105,166,614 = 105,166,614/x
  3. Step 3: Cross multiply
    71,931,668x = 105,166,614 × 105,166,614
  4. Step 4: Simplify right side
    71,931,668x = 11,060,016,700,224,996
  5. Step 5: Solve for x
    x = 11,060,016,700,224,996/71,931,668
  6. Step 6: Final answer
    x = 153,757,267.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.