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Finding the Third Proportional to 46,410,808 and 98,354,096

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Solution

The third proportional to 46,410,808 and 98,354,096 is: 208,432,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410,808 : 98,354,096 = 98,354,096 : x
  2. Step 2: Convert to fraction form
    46,410,808/98,354,096 = 98,354,096/x
  3. Step 3: Cross multiply
    46,410,808x = 98,354,096 × 98,354,096
  4. Step 4: Simplify right side
    46,410,808x = 9,673,528,199,977,216
  5. Step 5: Solve for x
    x = 9,673,528,199,977,216/46,410,808
  6. Step 6: Final answer
    x = 208,432,660.77

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Why These Related Problems?

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