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Finding the Third Proportional to 148,417,617 and 231,106,963.50

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Solution

The third proportional to 148,417,617 and 231,106,963.50 is: 359,865,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,417,617 : 231,106,963.50 = 231,106,963.50 : x
  2. Step 2: Convert to fraction form
    148,417,617/231,106,963.50 = 231,106,963.50/x
  3. Step 3: Cross multiply
    148,417,617x = 231,106,963.50 × 231,106,963.50
  4. Step 4: Simplify right side
    148,417,617x = 53,410,428,578,190,336
  5. Step 5: Solve for x
    x = 53,410,428,578,190,336/148,417,617
  6. Step 6: Final answer
    x = 359,865,827.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.