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Finding the Third Proportional to 157,265,330.63 and 234,534,210.75

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Solution

The third proportional to 157,265,330.63 and 234,534,210.75 is: 349,767,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265,330.63 : 234,534,210.75 = 234,534,210.75 : x
  2. Step 2: Convert to fraction form
    157,265,330.63/234,534,210.75 = 234,534,210.75/x
  3. Step 3: Cross multiply
    157,265,330.63x = 234,534,210.75 × 234,534,210.75
  4. Step 4: Simplify right side
    157,265,330.63x = 55,006,296,012,125,416
  5. Step 5: Solve for x
    x = 55,006,296,012,125,416/157,265,330.63
  6. Step 6: Final answer
    x = 349,767,464.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.