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Finding the Third Proportional to 202,154,557 and 310,534,127

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Solution

The third proportional to 202,154,557 and 310,534,127 is: 477,018,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154,557 : 310,534,127 = 310,534,127 : x
  2. Step 2: Convert to fraction form
    202,154,557/310,534,127 = 310,534,127/x
  3. Step 3: Cross multiply
    202,154,557x = 310,534,127 × 310,534,127
  4. Step 4: Simplify right side
    202,154,557x = 96,431,444,031,652,128
  5. Step 5: Solve for x
    x = 96,431,444,031,652,128/202,154,557
  6. Step 6: Final answer
    x = 477,018,403.46

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