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Finding the Third Proportional to 283,447,117.50 and 440,094,102

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Solution

The third proportional to 283,447,117.50 and 440,094,102 is: 683,312,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447,117.50 : 440,094,102 = 440,094,102 : x
  2. Step 2: Convert to fraction form
    283,447,117.50/440,094,102 = 440,094,102/x
  3. Step 3: Cross multiply
    283,447,117.50x = 440,094,102 × 440,094,102
  4. Step 4: Simplify right side
    283,447,117.50x = 193,682,818,615,186,400
  5. Step 5: Solve for x
    x = 193,682,818,615,186,400/283,447,117.50
  6. Step 6: Final answer
    x = 683,312,006.57

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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.