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Finding the Third Proportional to 210,281,916 and 460,205,151

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Solution

The third proportional to 210,281,916 and 460,205,151 is: 1,007,165,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,281,916 : 460,205,151 = 460,205,151 : x
  2. Step 2: Convert to fraction form
    210,281,916/460,205,151 = 460,205,151/x
  3. Step 3: Cross multiply
    210,281,916x = 460,205,151 × 460,205,151
  4. Step 4: Simplify right side
    210,281,916x = 211,788,781,006,932,800
  5. Step 5: Solve for x
    x = 211,788,781,006,932,800/210,281,916
  6. Step 6: Final answer
    x = 1,007,165,927.70

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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.