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Finding the Third Proportional to 42,775,584 and 92,369,316

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Solution

The third proportional to 42,775,584 and 92,369,316 is: 199,461,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,584 : 92,369,316 = 92,369,316 : x
  2. Step 2: Convert to fraction form
    42,775,584/92,369,316 = 92,369,316/x
  3. Step 3: Cross multiply
    42,775,584x = 92,369,316 × 92,369,316
  4. Step 4: Simplify right side
    42,775,584x = 8,532,090,538,307,856
  5. Step 5: Solve for x
    x = 8,532,090,538,307,856/42,775,584
  6. Step 6: Final answer
    x = 199,461,696.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.