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Finding the Third Proportional to 149,314,045 and 310,547,237

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Solution

The third proportional to 149,314,045 and 310,547,237 is: 645,884,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,045 : 310,547,237 = 310,547,237 : x
  2. Step 2: Convert to fraction form
    149,314,045/310,547,237 = 310,547,237/x
  3. Step 3: Cross multiply
    149,314,045x = 310,547,237 × 310,547,237
  4. Step 4: Simplify right side
    149,314,045x = 96,439,586,408,334,176
  5. Step 5: Solve for x
    x = 96,439,586,408,334,176/149,314,045
  6. Step 6: Final answer
    x = 645,884,226.15

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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.