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Finding the Third Proportional to 158,309,869.50 and 242,172,848.25

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Solution

The third proportional to 158,309,869.50 and 242,172,848.25 is: 370,461,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,309,869.50 : 242,172,848.25 = 242,172,848.25 : x
  2. Step 2: Convert to fraction form
    158,309,869.50/242,172,848.25 = 242,172,848.25/x
  3. Step 3: Cross multiply
    158,309,869.50x = 242,172,848.25 × 242,172,848.25
  4. Step 4: Simplify right side
    158,309,869.50x = 58,647,688,429,517,528
  5. Step 5: Solve for x
    x = 58,647,688,429,517,528/158,309,869.50
  6. Step 6: Final answer
    x = 370,461,352.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.