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Finding the Third Proportional to 98,289,000 and 213,733,377

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Solution

The third proportional to 98,289,000 and 213,733,377 is: 464,771,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,289,000 : 213,733,377 = 213,733,377 : x
  2. Step 2: Convert to fraction form
    98,289,000/213,733,377 = 213,733,377/x
  3. Step 3: Cross multiply
    98,289,000x = 213,733,377 × 213,733,377
  4. Step 4: Simplify right side
    98,289,000x = 45,681,956,443,824,128
  5. Step 5: Solve for x
    x = 45,681,956,443,824,128/98,289,000
  6. Step 6: Final answer
    x = 464,771,810.11

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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.