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Finding the Third Proportional to 158,802,289 and 242,875,009.50

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Solution

The third proportional to 158,802,289 and 242,875,009.50 is: 371,457,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,802,289 : 242,875,009.50 = 242,875,009.50 : x
  2. Step 2: Convert to fraction form
    158,802,289/242,875,009.50 = 242,875,009.50/x
  3. Step 3: Cross multiply
    158,802,289x = 242,875,009.50 × 242,875,009.50
  4. Step 4: Simplify right side
    158,802,289x = 58,988,270,239,625,088
  5. Step 5: Solve for x
    x = 58,988,270,239,625,088/158,802,289
  6. Step 6: Final answer
    x = 371,457,304.62

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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.