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Finding the Third Proportional to 98,286,464 and 213,280,097

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Solution

The third proportional to 98,286,464 and 213,280,097 is: 462,814,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286,464 : 213,280,097 = 213,280,097 : x
  2. Step 2: Convert to fraction form
    98,286,464/213,280,097 = 213,280,097/x
  3. Step 3: Cross multiply
    98,286,464x = 213,280,097 × 213,280,097
  4. Step 4: Simplify right side
    98,286,464x = 45,488,399,776,329,408
  5. Step 5: Solve for x
    x = 45,488,399,776,329,408/98,286,464
  6. Step 6: Final answer
    x = 462,814,490.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.