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Finding the Third Proportional to 97,369,389 and 205,603,798.50

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Solution

The third proportional to 97,369,389 and 205,603,798.50 is: 434,150,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369,389 : 205,603,798.50 = 205,603,798.50 : x
  2. Step 2: Convert to fraction form
    97,369,389/205,603,798.50 = 205,603,798.50/x
  3. Step 3: Cross multiply
    97,369,389x = 205,603,798.50 × 205,603,798.50
  4. Step 4: Simplify right side
    97,369,389x = 42,272,921,957,628,600
  5. Step 5: Solve for x
    x = 42,272,921,957,628,600/97,369,389
  6. Step 6: Final answer
    x = 434,150,017.70

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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.