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Finding the Third Proportional to 149,314,066 and 310,547,276

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Solution

The third proportional to 149,314,066 and 310,547,276 is: 645,884,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,066 : 310,547,276 = 310,547,276 : x
  2. Step 2: Convert to fraction form
    149,314,066/310,547,276 = 310,547,276/x
  3. Step 3: Cross multiply
    149,314,066x = 310,547,276 × 310,547,276
  4. Step 4: Simplify right side
    149,314,066x = 96,439,610,631,020,176
  5. Step 5: Solve for x
    x = 96,439,610,631,020,176/149,314,066
  6. Step 6: Final answer
    x = 645,884,297.54

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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.