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Finding the Third Proportional to 176,602,553,091 and 264,838,967,550

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Solution

The third proportional to 176,602,553,091 and 264,838,967,550 is: 397,161,182,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,602,553,091 : 264,838,967,550 = 264,838,967,550 : x
  2. Step 2: Convert to fraction form
    176,602,553,091/264,838,967,550 = 264,838,967,550/x
  3. Step 3: Cross multiply
    176,602,553,091x = 264,838,967,550 × 264,838,967,550
  4. Step 4: Simplify right side
    176,602,553,091x = 70,139,678,732,949,955,543,040
  5. Step 5: Solve for x
    x = 70,139,678,732,949,955,543,040/176,602,553,091
  6. Step 6: Final answer
    x = 397,161,182,017.61

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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.