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Finding the Third Proportional to 200,362,749.75 and 306,502,665.75

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Solution

The third proportional to 200,362,749.75 and 306,502,665.75 is: 468,869,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,362,749.75 : 306,502,665.75 = 306,502,665.75 : x
  2. Step 2: Convert to fraction form
    200,362,749.75/306,502,665.75 = 306,502,665.75/x
  3. Step 3: Cross multiply
    200,362,749.75x = 306,502,665.75 × 306,502,665.75
  4. Step 4: Simplify right side
    200,362,749.75x = 93,943,884,111,856,224
  5. Step 5: Solve for x
    x = 93,943,884,111,856,224/200,362,749.75
  6. Step 6: Final answer
    x = 468,869,009.98

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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.