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Finding the Third Proportional to 209,506,508 and 493,865,009

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Solution

The third proportional to 209,506,508 and 493,865,009 is: 1,164,176,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506,508 : 493,865,009 = 493,865,009 : x
  2. Step 2: Convert to fraction form
    209,506,508/493,865,009 = 493,865,009/x
  3. Step 3: Cross multiply
    209,506,508x = 493,865,009 × 493,865,009
  4. Step 4: Simplify right side
    209,506,508x = 243,902,647,114,570,080
  5. Step 5: Solve for x
    x = 243,902,647,114,570,080/209,506,508
  6. Step 6: Final answer
    x = 1,164,176,948.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.