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Finding the Third Proportional to 46,284,054 and 99,533,703

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Solution

The third proportional to 46,284,054 and 99,533,703 is: 214,046,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,054 : 99,533,703 = 99,533,703 : x
  2. Step 2: Convert to fraction form
    46,284,054/99,533,703 = 99,533,703/x
  3. Step 3: Cross multiply
    46,284,054x = 99,533,703 × 99,533,703
  4. Step 4: Simplify right side
    46,284,054x = 9,906,958,032,892,208
  5. Step 5: Solve for x
    x = 9,906,958,032,892,208/46,284,054
  6. Step 6: Final answer
    x = 214,046,894.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.