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Finding the Third Proportional to 190,771,461.25 and 413,235,670.50

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Solution

The third proportional to 190,771,461.25 and 413,235,670.50 is: 895,121,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,461.25 : 413,235,670.50 = 413,235,670.50 : x
  2. Step 2: Convert to fraction form
    190,771,461.25/413,235,670.50 = 413,235,670.50/x
  3. Step 3: Cross multiply
    190,771,461.25x = 413,235,670.50 × 413,235,670.50
  4. Step 4: Simplify right side
    190,771,461.25x = 170,763,719,373,584,576
  5. Step 5: Solve for x
    x = 170,763,719,373,584,576/190,771,461.25
  6. Step 6: Final answer
    x = 895,121,934.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.