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Finding the Third Proportional to 105,701,566 and 161,711,196

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Solution

The third proportional to 105,701,566 and 161,711,196 is: 247,399,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,701,566 : 161,711,196 = 161,711,196 : x
  2. Step 2: Convert to fraction form
    105,701,566/161,711,196 = 161,711,196/x
  3. Step 3: Cross multiply
    105,701,566x = 161,711,196 × 161,711,196
  4. Step 4: Simplify right side
    105,701,566x = 26,150,510,911,750,416
  5. Step 5: Solve for x
    x = 26,150,510,911,750,416/105,701,566
  6. Step 6: Final answer
    x = 247,399,465.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.