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Finding the Third Proportional to 111,443,075,634 and 170,405,784,900

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Solution

The third proportional to 111,443,075,634 and 170,405,784,900 is: 260,564,699,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,443,075,634 : 170,405,784,900 = 170,405,784,900 : x
  2. Step 2: Convert to fraction form
    111,443,075,634/170,405,784,900 = 170,405,784,900/x
  3. Step 3: Cross multiply
    111,443,075,634x = 170,405,784,900 × 170,405,784,900
  4. Step 4: Simplify right side
    111,443,075,634x = 29,038,131,527,385,069,125,632
  5. Step 5: Solve for x
    x = 29,038,131,527,385,069,125,632/111,443,075,634
  6. Step 6: Final answer
    x = 260,564,699,620.74

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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.