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Finding the Third Proportional to 262,294,165.50 and 565,447,002

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Solution

The third proportional to 262,294,165.50 and 565,447,002 is: 1,218,976,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,294,165.50 : 565,447,002 = 565,447,002 : x
  2. Step 2: Convert to fraction form
    262,294,165.50/565,447,002 = 565,447,002/x
  3. Step 3: Cross multiply
    262,294,165.50x = 565,447,002 × 565,447,002
  4. Step 4: Simplify right side
    262,294,165.50x = 319,730,312,070,788,032
  5. Step 5: Solve for x
    x = 319,730,312,070,788,032/262,294,165.50
  6. Step 6: Final answer
    x = 1,218,976,073.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.