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Finding the Third Proportional to 213,918,258 and 468,846,046

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Solution

The third proportional to 213,918,258 and 468,846,046 is: 1,027,572,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,918,258 : 468,846,046 = 468,846,046 : x
  2. Step 2: Convert to fraction form
    213,918,258/468,846,046 = 468,846,046/x
  3. Step 3: Cross multiply
    213,918,258x = 468,846,046 × 468,846,046
  4. Step 4: Simplify right side
    213,918,258x = 219,816,614,849,834,112
  5. Step 5: Solve for x
    x = 219,816,614,849,834,112/213,918,258
  6. Step 6: Final answer
    x = 1,027,572,947.28

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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.