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Finding the Third Proportional to 213,553,152 and 466,250,688

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Solution

The third proportional to 213,553,152 and 466,250,688 is: 1,017,965,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,553,152 : 466,250,688 = 466,250,688 : x
  2. Step 2: Convert to fraction form
    213,553,152/466,250,688 = 466,250,688/x
  3. Step 3: Cross multiply
    213,553,152x = 466,250,688 × 466,250,688
  4. Step 4: Simplify right side
    213,553,152x = 217,389,704,060,473,344
  5. Step 5: Solve for x
    x = 217,389,704,060,473,344/213,553,152
  6. Step 6: Final answer
    x = 1,017,965,326.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.