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Finding the Third Proportional to 133,207,415,244 and 287,645,782,239

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Solution

The third proportional to 133,207,415,244 and 287,645,782,239 is: 621,137,313,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207,415,244 : 287,645,782,239 = 287,645,782,239 : x
  2. Step 2: Convert to fraction form
    133,207,415,244/287,645,782,239 = 287,645,782,239/x
  3. Step 3: Cross multiply
    133,207,415,244x = 287,645,782,239 × 287,645,782,239
  4. Step 4: Simplify right side
    133,207,415,244x = 82,740,096,039,886,207,844,352
  5. Step 5: Solve for x
    x = 82,740,096,039,886,207,844,352/133,207,415,244
  6. Step 6: Final answer
    x = 621,137,313,477.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.