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Finding the Third Proportional to 132,466,298,151 and 288,907,602,179.25

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Solution

The third proportional to 132,466,298,151 and 288,907,602,179.25 is: 630,104,439,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466,298,151 : 288,907,602,179.25 = 288,907,602,179.25 : x
  2. Step 2: Convert to fraction form
    132,466,298,151/288,907,602,179.25 = 288,907,602,179.25/x
  3. Step 3: Cross multiply
    132,466,298,151x = 288,907,602,179.25 × 288,907,602,179.25
  4. Step 4: Simplify right side
    132,466,298,151x = 83,467,602,596,963,777,773,568
  5. Step 5: Solve for x
    x = 83,467,602,596,963,777,773,568/132,466,298,151
  6. Step 6: Final answer
    x = 630,104,439,861.51

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