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Finding the Third Proportional to 292,271,359.50 and 642,396,159

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Solution

The third proportional to 292,271,359.50 and 642,396,159 is: 1,411,950,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,271,359.50 : 642,396,159 = 642,396,159 : x
  2. Step 2: Convert to fraction form
    292,271,359.50/642,396,159 = 642,396,159/x
  3. Step 3: Cross multiply
    292,271,359.50x = 642,396,159 × 642,396,159
  4. Step 4: Simplify right side
    292,271,359.50x = 412,672,825,097,953,280
  5. Step 5: Solve for x
    x = 412,672,825,097,953,280/292,271,359.50
  6. Step 6: Final answer
    x = 1,411,950,954.77

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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.