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Finding the Third Proportional to 163,737,020 and 358,237,836

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Solution

The third proportional to 163,737,020 and 358,237,836 is: 783,783,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,737,020 : 358,237,836 = 358,237,836 : x
  2. Step 2: Convert to fraction form
    163,737,020/358,237,836 = 358,237,836/x
  3. Step 3: Cross multiply
    163,737,020x = 358,237,836 × 358,237,836
  4. Step 4: Simplify right side
    163,737,020x = 128,334,347,141,962,896
  5. Step 5: Solve for x
    x = 128,334,347,141,962,896/163,737,020
  6. Step 6: Final answer
    x = 783,783,332.21

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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.