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Finding the Third Proportional to 83,982,875.63 and 120,095,657.44

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Solution

The third proportional to 83,982,875.63 and 120,095,657.44 is: 171,736,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982,875.63 : 120,095,657.44 = 120,095,657.44 : x
  2. Step 2: Convert to fraction form
    83,982,875.63/120,095,657.44 = 120,095,657.44/x
  3. Step 3: Cross multiply
    83,982,875.63x = 120,095,657.44 × 120,095,657.44
  4. Step 4: Simplify right side
    83,982,875.63x = 14,422,966,935,345,350
  5. Step 5: Solve for x
    x = 14,422,966,935,345,350/83,982,875.63
  6. Step 6: Final answer
    x = 171,736,997.91

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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.