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Finding the Third Proportional to 97,369,371 and 205,603,758

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Solution

The third proportional to 97,369,371 and 205,603,758 is: 434,149,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369,371 : 205,603,758 = 205,603,758 : x
  2. Step 2: Convert to fraction form
    97,369,371/205,603,758 = 205,603,758/x
  3. Step 3: Cross multiply
    97,369,371x = 205,603,758 × 205,603,758
  4. Step 4: Simplify right side
    97,369,371x = 42,272,905,303,722,560
  5. Step 5: Solve for x
    x = 42,272,905,303,722,560/97,369,371
  6. Step 6: Final answer
    x = 434,149,926.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.