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Finding the Third Proportional to 149,314,046 and 310,547,239

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Solution

The third proportional to 149,314,046 and 310,547,239 is: 645,884,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,046 : 310,547,239 = 310,547,239 : x
  2. Step 2: Convert to fraction form
    149,314,046/310,547,239 = 310,547,239/x
  3. Step 3: Cross multiply
    149,314,046x = 310,547,239 × 310,547,239
  4. Step 4: Simplify right side
    149,314,046x = 96,439,587,650,523,120
  5. Step 5: Solve for x
    x = 96,439,587,650,523,120/149,314,046
  6. Step 6: Final answer
    x = 645,884,230.14

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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.