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Finding the Third Proportional to 202,154,151 and 310,533,528

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Solution

The third proportional to 202,154,151 and 310,533,528 is: 477,017,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154,151 : 310,533,528 = 310,533,528 : x
  2. Step 2: Convert to fraction form
    202,154,151/310,533,528 = 310,533,528/x
  3. Step 3: Cross multiply
    202,154,151x = 310,533,528 × 310,533,528
  4. Step 4: Simplify right side
    202,154,151x = 96,431,072,012,126,784
  5. Step 5: Solve for x
    x = 96,431,072,012,126,784/202,154,151
  6. Step 6: Final answer
    x = 477,017,521.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.