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Finding the Third Proportional to 76,760,409.75 and 109,768,282.50

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Solution

The third proportional to 76,760,409.75 and 109,768,282.50 is: 156,969,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760,409.75 : 109,768,282.50 = 109,768,282.50 : x
  2. Step 2: Convert to fraction form
    76,760,409.75/109,768,282.50 = 109,768,282.50/x
  3. Step 3: Cross multiply
    76,760,409.75x = 109,768,282.50 × 109,768,282.50
  4. Step 4: Simplify right side
    76,760,409.75x = 12,049,075,842,999,806
  5. Step 5: Solve for x
    x = 12,049,075,842,999,806/76,760,409.75
  6. Step 6: Final answer
    x = 156,969,926.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.