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Finding the Third Proportional to 53,003,878.50 and 114,518,085

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Solution

The third proportional to 53,003,878.50 and 114,518,085 is: 247,423,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,003,878.50 : 114,518,085 = 114,518,085 : x
  2. Step 2: Convert to fraction form
    53,003,878.50/114,518,085 = 114,518,085/x
  3. Step 3: Cross multiply
    53,003,878.50x = 114,518,085 × 114,518,085
  4. Step 4: Simplify right side
    53,003,878.50x = 13,114,391,792,067,224
  5. Step 5: Solve for x
    x = 13,114,391,792,067,224/53,003,878.50
  6. Step 6: Final answer
    x = 247,423,248.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.