Home / 211,757,095.13-311,175,313.03

Finding the Third Proportional to 211,757,095.13 and 311,175,313.03

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Solution

The third proportional to 211,757,095.13 and 311,175,313.03 is: 457,269,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,757,095.13 : 311,175,313.03 = 311,175,313.03 : x
  2. Step 2: Convert to fraction form
    211,757,095.13/311,175,313.03 = 311,175,313.03/x
  3. Step 3: Cross multiply
    211,757,095.13x = 311,175,313.03 × 311,175,313.03
  4. Step 4: Simplify right side
    211,757,095.13x = 96,830,075,440,096,432
  5. Step 5: Solve for x
    x = 96,830,075,440,096,432/211,757,095.13
  6. Step 6: Final answer
    x = 457,269,568.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.