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Finding the Third Proportional to 200,831,430 and 310,335,771

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Solution

The third proportional to 200,831,430 and 310,335,771 is: 479,547,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,430 : 310,335,771 = 310,335,771 : x
  2. Step 2: Convert to fraction form
    200,831,430/310,335,771 = 310,335,771/x
  3. Step 3: Cross multiply
    200,831,430x = 310,335,771 × 310,335,771
  4. Step 4: Simplify right side
    200,831,430x = 96,308,290,762,164,448
  5. Step 5: Solve for x
    x = 96,308,290,762,164,448/200,831,430
  6. Step 6: Final answer
    x = 479,547,901.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.