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Finding the Third Proportional to 200,739,392 and 306,878,732

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Solution

The third proportional to 200,739,392 and 306,878,732 is: 469,138,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739,392 : 306,878,732 = 306,878,732 : x
  2. Step 2: Convert to fraction form
    200,739,392/306,878,732 = 306,878,732/x
  3. Step 3: Cross multiply
    200,739,392x = 306,878,732 × 306,878,732
  4. Step 4: Simplify right side
    200,739,392x = 94,174,556,153,927,824
  5. Step 5: Solve for x
    x = 94,174,556,153,927,824/200,739,392
  6. Step 6: Final answer
    x = 469,138,394.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.