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Finding the Third Proportional to 77,773,152 and 170,185,536

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Solution

The third proportional to 77,773,152 and 170,185,536 is: 372,405,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,773,152 : 170,185,536 = 170,185,536 : x
  2. Step 2: Convert to fraction form
    77,773,152/170,185,536 = 170,185,536/x
  3. Step 3: Cross multiply
    77,773,152x = 170,185,536 × 170,185,536
  4. Step 4: Simplify right side
    77,773,152x = 28,963,116,663,607,296
  5. Step 5: Solve for x
    x = 28,963,116,663,607,296/77,773,152
  6. Step 6: Final answer
    x = 372,405,077.06

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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.