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Finding the Third Proportional to 132,466,298,201 and 288,907,602,279

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Solution

The third proportional to 132,466,298,201 and 288,907,602,279 is: 630,104,440,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466,298,201 : 288,907,602,279 = 288,907,602,279 : x
  2. Step 2: Convert to fraction form
    132,466,298,201/288,907,602,279 = 288,907,602,279/x
  3. Step 3: Cross multiply
    132,466,298,201x = 288,907,602,279 × 288,907,602,279
  4. Step 4: Simplify right side
    132,466,298,201x = 83,467,602,654,600,846,376,960
  5. Step 5: Solve for x
    x = 83,467,602,654,600,846,376,960/132,466,298,201
  6. Step 6: Final answer
    x = 630,104,440,058.78

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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.