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Finding the Third Proportional to 230,254,749 and 500,852,466

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Solution

The third proportional to 230,254,749 and 500,852,466 is: 1,089,459,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,254,749 : 500,852,466 = 500,852,466 : x
  2. Step 2: Convert to fraction form
    230,254,749/500,852,466 = 500,852,466/x
  3. Step 3: Cross multiply
    230,254,749x = 500,852,466 × 500,852,466
  4. Step 4: Simplify right side
    230,254,749x = 250,853,192,698,281,152
  5. Step 5: Solve for x
    x = 250,853,192,698,281,152/230,254,749
  6. Step 6: Final answer
    x = 1,089,459,365.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.