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Finding the Third Proportional to 98,516,413,148 and 215,090,926,484

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Solution

The third proportional to 98,516,413,148 and 215,090,926,484 is: 469,608,110,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516,413,148 : 215,090,926,484 = 215,090,926,484 : x
  2. Step 2: Convert to fraction form
    98,516,413,148/215,090,926,484 = 215,090,926,484/x
  3. Step 3: Cross multiply
    98,516,413,148x = 215,090,926,484 × 215,090,926,484
  4. Step 4: Simplify right side
    98,516,413,148x = 46,264,106,655,745,488,977,920
  5. Step 5: Solve for x
    x = 46,264,106,655,745,488,977,920/98,516,413,148
  6. Step 6: Final answer
    x = 469,608,110,744.38

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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.