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Finding the Third Proportional to 108,857,537,431 and 151,357,704,512

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Solution

The third proportional to 108,857,537,431 and 151,357,704,512 is: 210,450,789,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,857,537,431 : 151,357,704,512 = 151,357,704,512 : x
  2. Step 2: Convert to fraction form
    108,857,537,431/151,357,704,512 = 151,357,704,512/x
  3. Step 3: Cross multiply
    108,857,537,431x = 151,357,704,512 × 151,357,704,512
  4. Step 4: Simplify right side
    108,857,537,431x = 22,909,154,715,141,905,842,176
  5. Step 5: Solve for x
    x = 22,909,154,715,141,905,842,176/108,857,537,431
  6. Step 6: Final answer
    x = 210,450,789,681.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.