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Finding the Third Proportional to 157,280,769 and 235,921,185

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Solution

The third proportional to 157,280,769 and 235,921,185 is: 353,881,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280,769 : 235,921,185 = 235,921,185 : x
  2. Step 2: Convert to fraction form
    157,280,769/235,921,185 = 235,921,185/x
  3. Step 3: Cross multiply
    157,280,769x = 235,921,185 × 235,921,185
  4. Step 4: Simplify right side
    157,280,769x = 55,658,805,531,804,224
  5. Step 5: Solve for x
    x = 55,658,805,531,804,224/157,280,769
  6. Step 6: Final answer
    x = 353,881,824.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.