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Finding the Third Proportional to 90,584,819,724 and 135,091,688,442

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Solution

The third proportional to 90,584,819,724 and 135,091,688,442 is: 201,466,033,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,584,819,724 : 135,091,688,442 = 135,091,688,442 : x
  2. Step 2: Convert to fraction form
    90,584,819,724/135,091,688,442 = 135,091,688,442/x
  3. Step 3: Cross multiply
    90,584,819,724x = 135,091,688,442 × 135,091,688,442
  4. Step 4: Simplify right side
    90,584,819,724x = 18,249,764,286,110,397,104,128
  5. Step 5: Solve for x
    x = 18,249,764,286,110,397,104,128/90,584,819,724
  6. Step 6: Final answer
    x = 201,466,033,069.50

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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.