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Finding the Third Proportional to 53,663,142 and 115,823,532

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Solution

The third proportional to 53,663,142 and 115,823,532 is: 249,987,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,663,142 : 115,823,532 = 115,823,532 : x
  2. Step 2: Convert to fraction form
    53,663,142/115,823,532 = 115,823,532/x
  3. Step 3: Cross multiply
    53,663,142x = 115,823,532 × 115,823,532
  4. Step 4: Simplify right side
    53,663,142x = 13,415,090,564,955,024
  5. Step 5: Solve for x
    x = 13,415,090,564,955,024/53,663,142
  6. Step 6: Final answer
    x = 249,987,050.05

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