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Finding the Third Proportional to 54,416,998.13 and 118,399,762.13

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Solution

The third proportional to 54,416,998.13 and 118,399,762.13 is: 257,612,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416,998.13 : 118,399,762.13 = 118,399,762.13 : x
  2. Step 2: Convert to fraction form
    54,416,998.13/118,399,762.13 = 118,399,762.13/x
  3. Step 3: Cross multiply
    54,416,998.13x = 118,399,762.13 × 118,399,762.13
  4. Step 4: Simplify right side
    54,416,998.13x = 14,018,503,671,256,584
  5. Step 5: Solve for x
    x = 14,018,503,671,256,584/54,416,998.13
  6. Step 6: Final answer
    x = 257,612,587.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.