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Finding the Third Proportional to 223,038,150 and 483,144,894

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Solution

The third proportional to 223,038,150 and 483,144,894 is: 1,046,587,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,038,150 : 483,144,894 = 483,144,894 : x
  2. Step 2: Convert to fraction form
    223,038,150/483,144,894 = 483,144,894/x
  3. Step 3: Cross multiply
    223,038,150x = 483,144,894 × 483,144,894
  4. Step 4: Simplify right side
    223,038,150x = 233,428,988,598,271,232
  5. Step 5: Solve for x
    x = 233,428,988,598,271,232/223,038,150
  6. Step 6: Final answer
    x = 1,046,587,718.73

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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.