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Finding the Third Proportional to 103,663,793,576 and 154,816,390,641

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Solution

The third proportional to 103,663,793,576 and 154,816,390,641 is: 231,210,087,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,793,576 : 154,816,390,641 = 154,816,390,641 : x
  2. Step 2: Convert to fraction form
    103,663,793,576/154,816,390,641 = 154,816,390,641/x
  3. Step 3: Cross multiply
    103,663,793,576x = 154,816,390,641 × 154,816,390,641
  4. Step 4: Simplify right side
    103,663,793,576x = 23,968,114,811,106,710,519,808
  5. Step 5: Solve for x
    x = 23,968,114,811,106,710,519,808/103,663,793,576
  6. Step 6: Final answer
    x = 231,210,087,768.35

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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.