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Finding the Third Proportional to 210,231,181.69 and 460,029,400.31

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Solution

The third proportional to 210,231,181.69 and 460,029,400.31 is: 1,006,639,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231,181.69 : 460,029,400.31 = 460,029,400.31 : x
  2. Step 2: Convert to fraction form
    210,231,181.69/460,029,400.31 = 460,029,400.31/x
  3. Step 3: Cross multiply
    210,231,181.69x = 460,029,400.31 × 460,029,400.31
  4. Step 4: Simplify right side
    210,231,181.69x = 211,627,049,151,878,368
  5. Step 5: Solve for x
    x = 211,627,049,151,878,368/210,231,181.69
  6. Step 6: Final answer
    x = 1,006,639,678.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.