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Finding the Third Proportional to 234,497,430 and 501,197,341.50

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Solution

The third proportional to 234,497,430 and 501,197,341.50 is: 1,071,221,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,497,430 : 501,197,341.50 = 501,197,341.50 : x
  2. Step 2: Convert to fraction form
    234,497,430/501,197,341.50 = 501,197,341.50/x
  3. Step 3: Cross multiply
    234,497,430x = 501,197,341.50 × 501,197,341.50
  4. Step 4: Simplify right side
    234,497,430x = 251,198,775,126,667,616
  5. Step 5: Solve for x
    x = 251,198,775,126,667,616/234,497,430
  6. Step 6: Final answer
    x = 1,071,221,868.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.