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Finding the Third Proportional to 98,130,321,006 and 213,454,083,685

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Solution

The third proportional to 98,130,321,006 and 213,454,083,685 is: 464,307,518,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,130,321,006 : 213,454,083,685 = 213,454,083,685 : x
  2. Step 2: Convert to fraction form
    98,130,321,006/213,454,083,685 = 213,454,083,685/x
  3. Step 3: Cross multiply
    98,130,321,006x = 213,454,083,685 × 213,454,083,685
  4. Step 4: Simplify right side
    98,130,321,006x = 45,562,645,841,802,982,064,128
  5. Step 5: Solve for x
    x = 45,562,645,841,802,982,064,128/98,130,321,006
  6. Step 6: Final answer
    x = 464,307,518,560.11

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