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Finding the Third Proportional to 66,811,073.50 and 139,730,704.50

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Solution

The third proportional to 66,811,073.50 and 139,730,704.50 is: 292,237,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,811,073.50 : 139,730,704.50 = 139,730,704.50 : x
  2. Step 2: Convert to fraction form
    66,811,073.50/139,730,704.50 = 139,730,704.50/x
  3. Step 3: Cross multiply
    66,811,073.50x = 139,730,704.50 × 139,730,704.50
  4. Step 4: Simplify right side
    66,811,073.50x = 19,524,669,780,066,320
  5. Step 5: Solve for x
    x = 19,524,669,780,066,320/66,811,073.50
  6. Step 6: Final answer
    x = 292,237,031.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.