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Finding the Third Proportional to 46,157,229 and 73,088,790.75

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Solution

The third proportional to 46,157,229 and 73,088,790.75 is: 115,734,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,157,229 : 73,088,790.75 = 73,088,790.75 : x
  2. Step 2: Convert to fraction form
    46,157,229/73,088,790.75 = 73,088,790.75/x
  3. Step 3: Cross multiply
    46,157,229x = 73,088,790.75 × 73,088,790.75
  4. Step 4: Simplify right side
    46,157,229x = 5,341,971,333,297,286
  5. Step 5: Solve for x
    x = 5,341,971,333,297,286/46,157,229
  6. Step 6: Final answer
    x = 115,734,229.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.