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Finding the Third Proportional to 97,078,257 and 208,564,467

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Solution

The third proportional to 97,078,257 and 208,564,467 is: 448,083,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078,257 : 208,564,467 = 208,564,467 : x
  2. Step 2: Convert to fraction form
    97,078,257/208,564,467 = 208,564,467/x
  3. Step 3: Cross multiply
    97,078,257x = 208,564,467 × 208,564,467
  4. Step 4: Simplify right side
    97,078,257x = 43,499,136,894,994,088
  5. Step 5: Solve for x
    x = 43,499,136,894,994,088/97,078,257
  6. Step 6: Final answer
    x = 448,083,208.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.