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Finding the Third Proportional to 92,087,632,624.50 and 200,390,756,337

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Solution

The third proportional to 92,087,632,624.50 and 200,390,756,337 is: 436,067,841,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,087,632,624.50 : 200,390,756,337 = 200,390,756,337 : x
  2. Step 2: Convert to fraction form
    92,087,632,624.50/200,390,756,337 = 200,390,756,337/x
  3. Step 3: Cross multiply
    92,087,632,624.50x = 200,390,756,337 × 200,390,756,337
  4. Step 4: Simplify right side
    92,087,632,624.50x = 40,156,455,225,314,903,064,576
  5. Step 5: Solve for x
    x = 40,156,455,225,314,903,064,576/92,087,632,624.50
  6. Step 6: Final answer
    x = 436,067,841,911.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.