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Finding the Third Proportional to 46,410,096 and 98,352,564

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Solution

The third proportional to 46,410,096 and 98,352,564 is: 208,429,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410,096 : 98,352,564 = 98,352,564 : x
  2. Step 2: Convert to fraction form
    46,410,096/98,352,564 = 98,352,564/x
  3. Step 3: Cross multiply
    46,410,096x = 98,352,564 × 98,352,564
  4. Step 4: Simplify right side
    46,410,096x = 9,673,226,845,374,096
  5. Step 5: Solve for x
    x = 9,673,226,845,374,096/46,410,096
  6. Step 6: Final answer
    x = 208,429,365.14

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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.