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Finding the Third Proportional to 69,911,526.52 and 105,159,172.01

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Solution

The third proportional to 69,911,526.52 and 105,159,172.01 is: 158,177,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,911,526.52 : 105,159,172.01 = 105,159,172.01 : x
  2. Step 2: Convert to fraction form
    69,911,526.52/105,159,172.01 = 105,159,172.01/x
  3. Step 3: Cross multiply
    69,911,526.52x = 105,159,172.01 × 105,159,172.01
  4. Step 4: Simplify right side
    69,911,526.52x = 11,058,451,457,368,170
  5. Step 5: Solve for x
    x = 11,058,451,457,368,170/69,911,526.52
  6. Step 6: Final answer
    x = 158,177,799.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.