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Finding the Third Proportional to 237,340,114 and 492,869,988

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Solution

The third proportional to 237,340,114 and 492,869,988 is: 1,023,513,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,340,114 : 492,869,988 = 492,869,988 : x
  2. Step 2: Convert to fraction form
    237,340,114/492,869,988 = 492,869,988/x
  3. Step 3: Cross multiply
    237,340,114x = 492,869,988 × 492,869,988
  4. Step 4: Simplify right side
    237,340,114x = 242,920,825,071,120,128
  5. Step 5: Solve for x
    x = 242,920,825,071,120,128/237,340,114
  6. Step 6: Final answer
    x = 1,023,513,560.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.