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Finding the Third Proportional to 283,447,164 and 440,094,174

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Solution

The third proportional to 283,447,164 and 440,094,174 is: 683,312,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447,164 : 440,094,174 = 440,094,174 : x
  2. Step 2: Convert to fraction form
    283,447,164/440,094,174 = 440,094,174/x
  3. Step 3: Cross multiply
    283,447,164x = 440,094,174 × 440,094,174
  4. Step 4: Simplify right side
    283,447,164x = 193,682,881,988,742,272
  5. Step 5: Solve for x
    x = 193,682,881,988,742,272/283,447,164
  6. Step 6: Final answer
    x = 683,312,118.05

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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.