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Finding the Third Proportional to 147,809,655 and 348,918,574.50

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Solution

The third proportional to 147,809,655 and 348,918,574.50 is: 823,655,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,809,655 : 348,918,574.50 = 348,918,574.50 : x
  2. Step 2: Convert to fraction form
    147,809,655/348,918,574.50 = 348,918,574.50/x
  3. Step 3: Cross multiply
    147,809,655x = 348,918,574.50 × 348,918,574.50
  4. Step 4: Simplify right side
    147,809,655x = 121,744,171,631,112,048
  5. Step 5: Solve for x
    x = 121,744,171,631,112,048/147,809,655
  6. Step 6: Final answer
    x = 823,655,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.