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Finding the Third Proportional to 52,570,729.50 and 115,051,714.50

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Solution

The third proportional to 52,570,729.50 and 115,051,714.50 is: 251,792,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570,729.50 : 115,051,714.50 = 115,051,714.50 : x
  2. Step 2: Convert to fraction form
    52,570,729.50/115,051,714.50 = 115,051,714.50/x
  3. Step 3: Cross multiply
    52,570,729.50x = 115,051,714.50 × 115,051,714.50
  4. Step 4: Simplify right side
    52,570,729.50x = 13,236,897,009,389,510
  5. Step 5: Solve for x
    x = 13,236,897,009,389,510/52,570,729.50
  6. Step 6: Final answer
    x = 251,792,150.03

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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.