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Finding the Third Proportional to 111,443,075,610 and 170,405,784,864

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Solution

The third proportional to 111,443,075,610 and 170,405,784,864 is: 260,564,699,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,443,075,610 : 170,405,784,864 = 170,405,784,864 : x
  2. Step 2: Convert to fraction form
    111,443,075,610/170,405,784,864 = 170,405,784,864/x
  3. Step 3: Cross multiply
    111,443,075,610x = 170,405,784,864 × 170,405,784,864
  4. Step 4: Simplify right side
    111,443,075,610x = 29,038,131,515,115,853,316,096
  5. Step 5: Solve for x
    x = 29,038,131,515,115,853,316,096/111,443,075,610
  6. Step 6: Final answer
    x = 260,564,699,566.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.