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Finding the Third Proportional to 223,038,153 and 483,144,900

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Solution

The third proportional to 223,038,153 and 483,144,900 is: 1,046,587,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,038,153 : 483,144,900 = 483,144,900 : x
  2. Step 2: Convert to fraction form
    223,038,153/483,144,900 = 483,144,900/x
  3. Step 3: Cross multiply
    223,038,153x = 483,144,900 × 483,144,900
  4. Step 4: Simplify right side
    223,038,153x = 233,428,994,396,009,984
  5. Step 5: Solve for x
    x = 233,428,994,396,009,984/223,038,153
  6. Step 6: Final answer
    x = 1,046,587,730.65

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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.