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Finding the Third Proportional to 98,130,321,004.50 and 213,454,083,681

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Solution

The third proportional to 98,130,321,004.50 and 213,454,083,681 is: 464,307,518,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,130,321,004.50 : 213,454,083,681 = 213,454,083,681 : x
  2. Step 2: Convert to fraction form
    98,130,321,004.50/213,454,083,681 = 213,454,083,681/x
  3. Step 3: Cross multiply
    98,130,321,004.50x = 213,454,083,681 × 213,454,083,681
  4. Step 4: Simplify right side
    98,130,321,004.50x = 45,562,645,840,095,346,688,000
  5. Step 5: Solve for x
    x = 45,562,645,840,095,346,688,000/98,130,321,004.50
  6. Step 6: Final answer
    x = 464,307,518,549.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.