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Finding the Third Proportional to 103,411,782 and 160,343,529

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Solution

The third proportional to 103,411,782 and 160,343,529 is: 248,618,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411,782 : 160,343,529 = 160,343,529 : x
  2. Step 2: Convert to fraction form
    103,411,782/160,343,529 = 160,343,529/x
  3. Step 3: Cross multiply
    103,411,782x = 160,343,529 × 160,343,529
  4. Step 4: Simplify right side
    103,411,782x = 25,710,047,292,173,840
  5. Step 5: Solve for x
    x = 25,710,047,292,173,840/103,411,782
  6. Step 6: Final answer
    x = 248,618,163.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.