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Finding the Third Proportional to 149,314,050 and 310,547,248

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Solution

The third proportional to 149,314,050 and 310,547,248 is: 645,884,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,050 : 310,547,248 = 310,547,248 : x
  2. Step 2: Convert to fraction form
    149,314,050/310,547,248 = 310,547,248/x
  3. Step 3: Cross multiply
    149,314,050x = 310,547,248 × 310,547,248
  4. Step 4: Simplify right side
    149,314,050x = 96,439,593,240,373,504
  5. Step 5: Solve for x
    x = 96,439,593,240,373,504/149,314,050
  6. Step 6: Final answer
    x = 645,884,250.28

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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.