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Finding the Third Proportional to 160,210,116 and 328,913,444

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Solution

The third proportional to 160,210,116 and 328,913,444 is: 675,263,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,116 : 328,913,444 = 328,913,444 : x
  2. Step 2: Convert to fraction form
    160,210,116/328,913,444 = 328,913,444/x
  3. Step 3: Cross multiply
    160,210,116x = 328,913,444 × 328,913,444
  4. Step 4: Simplify right side
    160,210,116x = 108,184,053,643,941,136
  5. Step 5: Solve for x
    x = 108,184,053,643,941,136/160,210,116
  6. Step 6: Final answer
    x = 675,263,562.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.