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Finding the Third Proportional to 110,233,152 and 257,472,528

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Solution

The third proportional to 110,233,152 and 257,472,528 is: 601,380,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,233,152 : 257,472,528 = 257,472,528 : x
  2. Step 2: Convert to fraction form
    110,233,152/257,472,528 = 257,472,528/x
  3. Step 3: Cross multiply
    110,233,152x = 257,472,528 × 257,472,528
  4. Step 4: Simplify right side
    110,233,152x = 66,292,102,674,710,784
  5. Step 5: Solve for x
    x = 66,292,102,674,710,784/110,233,152
  6. Step 6: Final answer
    x = 601,380,813.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.