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Finding the Third Proportional to 48,575,316 and 114,669,798

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Solution

The third proportional to 48,575,316 and 114,669,798 is: 270,696,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,575,316 : 114,669,798 = 114,669,798 : x
  2. Step 2: Convert to fraction form
    48,575,316/114,669,798 = 114,669,798/x
  3. Step 3: Cross multiply
    48,575,316x = 114,669,798 × 114,669,798
  4. Step 4: Simplify right side
    48,575,316x = 13,149,162,573,360,804
  5. Step 5: Solve for x
    x = 13,149,162,573,360,804/48,575,316
  6. Step 6: Final answer
    x = 270,696,387.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.