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Finding the Third Proportional to 105,789,249 and 160,280,869.50

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Solution

The third proportional to 105,789,249 and 160,280,869.50 is: 242,840,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,249 : 160,280,869.50 = 160,280,869.50 : x
  2. Step 2: Convert to fraction form
    105,789,249/160,280,869.50 = 160,280,869.50/x
  3. Step 3: Cross multiply
    105,789,249x = 160,280,869.50 × 160,280,869.50
  4. Step 4: Simplify right side
    105,789,249x = 25,689,957,127,676,032
  5. Step 5: Solve for x
    x = 25,689,957,127,676,032/105,789,249
  6. Step 6: Final answer
    x = 242,840,906.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.