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Finding the Third Proportional to 453,658,098.75 and 700,634,160.75

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Solution

The third proportional to 453,658,098.75 and 700,634,160.75 is: 1,082,066,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,658,098.75 : 700,634,160.75 = 700,634,160.75 : x
  2. Step 2: Convert to fraction form
    453,658,098.75/700,634,160.75 = 700,634,160.75/x
  3. Step 3: Cross multiply
    453,658,098.75x = 700,634,160.75 × 700,634,160.75
  4. Step 4: Simplify right side
    453,658,098.75x = 490,888,227,209,856,832
  5. Step 5: Solve for x
    x = 490,888,227,209,856,832/453,658,098.75
  6. Step 6: Final answer
    x = 1,082,066,491.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.