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Finding the Third Proportional to 93,103,894 and 202,323,306

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Solution

The third proportional to 93,103,894 and 202,323,306 is: 439,667,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,103,894 : 202,323,306 = 202,323,306 : x
  2. Step 2: Convert to fraction form
    93,103,894/202,323,306 = 202,323,306/x
  3. Step 3: Cross multiply
    93,103,894x = 202,323,306 × 202,323,306
  4. Step 4: Simplify right side
    93,103,894x = 40,934,720,150,769,632
  5. Step 5: Solve for x
    x = 40,934,720,150,769,632/93,103,894
  6. Step 6: Final answer
    x = 439,667,111.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.