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Finding the Third Proportional to 230,462,006 and 506,892,361

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Solution

The third proportional to 230,462,006 and 506,892,361 is: 1,114,890,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,462,006 : 506,892,361 = 506,892,361 : x
  2. Step 2: Convert to fraction form
    230,462,006/506,892,361 = 506,892,361/x
  3. Step 3: Cross multiply
    230,462,006x = 506,892,361 × 506,892,361
  4. Step 4: Simplify right side
    230,462,006x = 256,939,865,640,154,336
  5. Step 5: Solve for x
    x = 256,939,865,640,154,336/230,462,006
  6. Step 6: Final answer
    x = 1,114,890,346.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.