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Finding the Third Proportional to 149,314,048 and 310,547,243

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Solution

The third proportional to 149,314,048 and 310,547,243 is: 645,884,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,048 : 310,547,243 = 310,547,243 : x
  2. Step 2: Convert to fraction form
    149,314,048/310,547,243 = 310,547,243/x
  3. Step 3: Cross multiply
    149,314,048x = 310,547,243 × 310,547,243
  4. Step 4: Simplify right side
    149,314,048x = 96,439,590,134,901,056
  5. Step 5: Solve for x
    x = 96,439,590,134,901,056/149,314,048
  6. Step 6: Final answer
    x = 645,884,238.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.