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Finding the Third Proportional to 133,069,896 and 291,225,168

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Solution

The third proportional to 133,069,896 and 291,225,168 is: 637,350,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,896 : 291,225,168 = 291,225,168 : x
  2. Step 2: Convert to fraction form
    133,069,896/291,225,168 = 291,225,168/x
  3. Step 3: Cross multiply
    133,069,896x = 291,225,168 × 291,225,168
  4. Step 4: Simplify right side
    133,069,896x = 84,812,098,476,628,224
  5. Step 5: Solve for x
    x = 84,812,098,476,628,224/133,069,896
  6. Step 6: Final answer
    x = 637,350,001.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.