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Finding the Third Proportional to 77,941,524 and 108,966,838.50

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Solution

The third proportional to 77,941,524 and 108,966,838.50 is: 152,342,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,941,524 : 108,966,838.50 = 108,966,838.50 : x
  2. Step 2: Convert to fraction form
    77,941,524/108,966,838.50 = 108,966,838.50/x
  3. Step 3: Cross multiply
    77,941,524x = 108,966,838.50 × 108,966,838.50
  4. Step 4: Simplify right side
    77,941,524x = 11,873,771,892,685,082
  5. Step 5: Solve for x
    x = 11,873,771,892,685,082/77,941,524
  6. Step 6: Final answer
    x = 152,342,054.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.