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Finding the Third Proportional to 132,466,298,199 and 288,907,602,275

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Solution

The third proportional to 132,466,298,199 and 288,907,602,275 is: 630,104,440,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466,298,199 : 288,907,602,275 = 288,907,602,275 : x
  2. Step 2: Convert to fraction form
    132,466,298,199/288,907,602,275 = 288,907,602,275/x
  3. Step 3: Cross multiply
    132,466,298,199x = 288,907,602,275 × 288,907,602,275
  4. Step 4: Simplify right side
    132,466,298,199x = 83,467,602,652,289,583,546,368
  5. Step 5: Solve for x
    x = 83,467,602,652,289,583,546,368/132,466,298,199
  6. Step 6: Final answer
    x = 630,104,440,050.85

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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.