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Finding the Third Proportional to 90,584,819,762 and 135,091,688,475

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Solution

The third proportional to 90,584,819,762 and 135,091,688,475 is: 201,466,033,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,584,819,762 : 135,091,688,475 = 135,091,688,475 : x
  2. Step 2: Convert to fraction form
    90,584,819,762/135,091,688,475 = 135,091,688,475/x
  3. Step 3: Cross multiply
    90,584,819,762x = 135,091,688,475 × 135,091,688,475
  4. Step 4: Simplify right side
    90,584,819,762x = 18,249,764,295,026,447,220,736
  5. Step 5: Solve for x
    x = 18,249,764,295,026,447,220,736/90,584,819,762
  6. Step 6: Final answer
    x = 201,466,033,083.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.