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Finding the Third Proportional to 46,410,499.50 and 98,353,291.50

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Solution

The third proportional to 46,410,499.50 and 98,353,291.50 is: 208,430,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410,499.50 : 98,353,291.50 = 98,353,291.50 : x
  2. Step 2: Convert to fraction form
    46,410,499.50/98,353,291.50 = 98,353,291.50/x
  3. Step 3: Cross multiply
    46,410,499.50x = 98,353,291.50 × 98,353,291.50
  4. Step 4: Simplify right side
    46,410,499.50x = 9,673,369,948,883,972
  5. Step 5: Solve for x
    x = 9,673,369,948,883,972/46,410,499.50
  6. Step 6: Final answer
    x = 208,430,636.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.