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Finding the Third Proportional to 103,663,793,584 and 154,816,390,653

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Solution

The third proportional to 103,663,793,584 and 154,816,390,653 is: 231,210,087,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,793,584 : 154,816,390,653 = 154,816,390,653 : x
  2. Step 2: Convert to fraction form
    103,663,793,584/154,816,390,653 = 154,816,390,653/x
  3. Step 3: Cross multiply
    103,663,793,584x = 154,816,390,653 × 154,816,390,653
  4. Step 4: Simplify right side
    103,663,793,584x = 23,968,114,814,822,306,021,376
  5. Step 5: Solve for x
    x = 23,968,114,814,822,306,021,376/103,663,793,584
  6. Step 6: Final answer
    x = 231,210,087,786.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.