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Finding the Third Proportional to 53,923,623.75 and 117,936,354.38

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Solution

The third proportional to 53,923,623.75 and 117,936,354.38 is: 257,938,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,923,623.75 : 117,936,354.38 = 117,936,354.38 : x
  2. Step 2: Convert to fraction form
    53,923,623.75/117,936,354.38 = 117,936,354.38/x
  3. Step 3: Cross multiply
    53,923,623.75x = 117,936,354.38 × 117,936,354.38
  4. Step 4: Simplify right side
    53,923,623.75x = 13,908,983,683,265,582
  5. Step 5: Solve for x
    x = 13,908,983,683,265,582/53,923,623.75
  6. Step 6: Final answer
    x = 257,938,593.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.